Type la SN: a) Given a total radiated energy of 10^{50} erg, and...

Question
Type la SN:

a) Given a total radiated energy of 10^{50} erg, and that the energy entirely comes from Ni to Fe decay, determine the amount of Ni mass (in units of M_{sun}) required.

b) How long does it take for the luminosity to drop by a factor of 10 during the phase that Co decay dominates the luminosity?

c) does the luminosity drop more quickly or more slowly when the supernova becomes optically thin to Co decay radiation?
Solution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references.
Students may use these solutions for personal skill-building and practice.
Unethical use is strictly forbidden.

This is only a preview of the solution.
Please use the purchase button to see the entire solution.
By purchasing this solution you'll be able to access the following files:
Solution.pdf
Purchase Solution
$29.00
Google Pay
Amazon
Paypal
Mastercard
Visacard
Discover
Amex
View Available Physics Tutors 529 tutors matched
ionut
Ionut
(ionut)
Hi! MSc Applied Informatics & Computer Science Engineer. Practical experience in many CS & IT branches.Research work & homework
5/5 (5,654+ sessions)
2 hours avg response
Leo
(Leo)
Hi! I have been a professor in New York and taught in a math department and in an applied math department.
4.9/5 (5,652+ sessions)
2 hours avg response
Pranay
(math1983)
Ph.D. in mathematics and working as an Assistant Professor in University. I can provide help in mathematics, statistics and allied areas.
4.6/5 (5,512+ sessions)
1 hour avg response

Similar Homework Solutions

8.1.0PHP Version1.2sRequest Duration45MBMemory UsageGET college-homework-library/{category}/{subject}/{id}Route
    • Booting (814ms)time
    • Application (389ms)time
    • 1 x Booting (67.67%)
      814ms
      1 x Application (32.33%)
      389ms
      • Illuminate\Routing\Events\Routing (1.21ms)
      • Illuminate\Routing\Events\RouteMatched (13.51ms)
      • Illuminate\Foundation\Events\LocaleUpdated (21.81ms)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (237μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (183μs)
      • Illuminate\Database\Events\ConnectionEstablished (1.24ms)
      • Illuminate\Database\Events\StatementPrepared (11.91ms)
      • Illuminate\Database\Events\QueryExecuted (1.74ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (220μs)
      • eloquent.booting: App\Models\Subject (104μs)
      • eloquent.booted: App\Models\Subject (62μs)
      • Illuminate\Database\Events\StatementPrepared (6.79ms)
      • Illuminate\Database\Events\QueryExecuted (6.4ms)
      • eloquent.retrieved: App\Models\Subject (281μs)
      • eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (237μs)
      • eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (92μs)
      • Illuminate\Database\Events\StatementPrepared (964μs)
      • Illuminate\Database\Events\QueryExecuted (2.45ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (127μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (22μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (12μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (9μs)
      • eloquent.booting: App\Models\SubjectCat (353μs)
      • eloquent.booted: App\Models\SubjectCat (62μs)
      • Illuminate\Database\Events\StatementPrepared (780μs)
      • Illuminate\Database\Events\QueryExecuted (1.1ms)
      • eloquent.retrieved: App\Models\SubjectCat (133μs)
      • Illuminate\Cache\Events\CacheHit (43.84ms)
      • Illuminate\Cache\Events\CacheMissed (252μs)
      • Illuminate\Database\Events\StatementPrepared (2.89ms)
      • Illuminate\Database\Events\QueryExecuted (2.94ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (126μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (23μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (13μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (11μs)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (10μs)
      • Illuminate\Database\Events\StatementPrepared (828μs)
      • Illuminate\Database\Events\QueryExecuted (1.06ms)
      • eloquent.retrieved: App\Models\Subject (125μs)
      • Illuminate\Cache\Events\KeyWritten (1.42ms)
      • Illuminate\Database\Events\StatementPrepared (9.43ms)
      • Illuminate\Database\Events\QueryExecuted (1.56ms)
      • Illuminate\Database\Events\StatementPrepared (923μs)
      • Illuminate\Database\Events\QueryExecuted (1.37ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (108μs)
      • Illuminate\Database\Events\StatementPrepared (1.34ms)
      • Illuminate\Database\Events\QueryExecuted (1.53ms)
      • eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (75μs)
      • Illuminate\Cache\Events\CacheHit (518μs)
      • creating: homework.show (382μs)
      • composing: homework.show (271μs)
      • creating: components.breadcrumbs (841μs)
      • composing: components.breadcrumbs (161μs)
      • Illuminate\Database\Events\StatementPrepared (6.94ms)
      • Illuminate\Database\Events\QueryExecuted (1.62ms)
      • eloquent.retrieved: App\Models\SubjectCat (194μs)
      • Illuminate\Cache\Events\CacheHit (5.27ms)
      • Illuminate\Cache\Events\CacheHit (299μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (8.78ms)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (209μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (275μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (188μs)
      • Illuminate\Cache\Events\CacheHit (210μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (208μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (335μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (249μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (586μs)
      • Illuminate\Cache\Events\CacheHit (4.81ms)
      • Illuminate\Cache\Events\CacheHit (519μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (202μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (307μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (9.17ms)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (305μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (255μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (309μs)
      • Illuminate\Cache\Events\CacheHit (358μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (185μs)
      • Illuminate\Cache\Events\CacheHit (201μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (200μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (207μs)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (321μs)
      • Illuminate\Cache\Events\CacheHit (327μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (342μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (246μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (205μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (236μs)
      • Illuminate\Cache\Events\CacheHit (157μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (150μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (186μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (337μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (8.4ms)
      • Illuminate\Cache\Events\CacheHit (440μs)
      • Illuminate\Cache\Events\CacheHit (229μs)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (332μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (173μs)
      • Illuminate\Cache\Events\CacheHit (1.01ms)
      • Illuminate\Cache\Events\CacheHit (167μs)
      • Illuminate\Cache\Events\CacheHit (182μs)
      • Illuminate\Cache\Events\CacheHit (445μs)
      • Illuminate\Cache\Events\CacheHit (364μs)
      • Illuminate\Cache\Events\CacheHit (672μs)
      • Illuminate\Cache\Events\CacheHit (219μs)
      • Illuminate\Cache\Events\CacheHit (347μs)
      • Illuminate\Cache\Events\CacheHit (633μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (196μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (367μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (8.48ms)
      • Illuminate\Cache\Events\CacheHit (303μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (141μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (250μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (8.24ms)
      • Illuminate\Cache\Events\CacheHit (420μs)
      • Illuminate\Cache\Events\CacheHit (286μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (139μs)
      • Illuminate\Cache\Events\CacheHit (169μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (361μs)
      • Illuminate\Cache\Events\CacheHit (467μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (393μs)
      • Illuminate\Cache\Events\CacheHit (703μs)
      • Illuminate\Cache\Events\CacheHit (308μs)
      • Illuminate\Cache\Events\CacheHit (617μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (145μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (138μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (146μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (158μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (398μs)
      • Illuminate\Cache\Events\CacheHit (233μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (290μs)
      • Illuminate\Cache\Events\CacheHit (160μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (2.7ms)
      • Illuminate\Cache\Events\CacheHit (270μs)
      • Illuminate\Cache\Events\CacheHit (281μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (214μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (328μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (295μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (176μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (239μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (297μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (846μs)
      • Illuminate\Cache\Events\CacheHit (147μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (136μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (156μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (135μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (134μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (133μs)
      • Illuminate\Cache\Events\CacheHit (152μs)
      • Illuminate\Cache\Events\CacheHit (9.16ms)
      • Illuminate\Cache\Events\CacheHit (355μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (385μs)
      • Illuminate\Cache\Events\CacheHit (227μs)
      • Illuminate\Cache\Events\CacheHit (204μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (268μs)
      • Illuminate\Cache\Events\CacheHit (258μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • Illuminate\Cache\Events\CacheHit (9.25ms)
      • Illuminate\Cache\Events\CacheHit (235μs)
      • Illuminate\Cache\Events\CacheHit (187μs)
      • Illuminate\Cache\Events\CacheHit (154μs)
      • Illuminate\Cache\Events\CacheHit (451μs)
      • Illuminate\Cache\Events\CacheHit (184μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (225μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (264μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (144μs)
      • Illuminate\Cache\Events\CacheHit (496μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (232μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (251μs)
      • Illuminate\Cache\Events\CacheHit (241μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (221μs)
      • Illuminate\Cache\Events\CacheHit (216μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (148μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (308μs)
      • Illuminate\Cache\Events\CacheHit (231μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (171μs)
      • Illuminate\Cache\Events\CacheHit (140μs)
      • Illuminate\Cache\Events\CacheHit (287μs)
      • Illuminate\Cache\Events\CacheHit (151μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (153μs)
      • Illuminate\Cache\Events\CacheHit (359μs)
      • Illuminate\Cache\Events\CacheHit (383μs)
      • Illuminate\Cache\Events\CacheHit (710μs)
      • Illuminate\Cache\Events\CacheHit (442μs)
      • Illuminate\Cache\Events\CacheHit (277μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (174μs)
      • Illuminate\Cache\Events\CacheHit (149μs)
      • Illuminate\Cache\Events\CacheHit (8.51ms)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (218μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (146μs)
      • Illuminate\Cache\Events\CacheHit (168μs)
      • Illuminate\Cache\Events\CacheHit (155μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (143μs)
      • Illuminate\Cache\Events\CacheHit (165μs)
      • Illuminate\Cache\Events\CacheHit (247μs)
      • creating: site.layouts.app (478μs)
      • composing: site.layouts.app (24μs)
      • creating: components.canonical (695μs)
      • composing: components.canonical (8.22ms)
      • creating: components.open-graph (297μs)
      • composing: components.open-graph (354μs)
      • creating: site.headers.header (613μs)
      • composing: site.headers.header (144μs)
      • Illuminate\Cache\Events\CacheHit (14.91ms)
      • creating: components.footer (142μs)
      • composing: components.footer (153μs)
      • Illuminate\Cache\Events\CacheHit (1.42ms)
      • Illuminate\Cache\Events\CacheHit (448μs)
      • Illuminate\Cache\Events\CacheHit (293μs)
      • Illuminate\Cache\Events\CacheHit (191μs)
      • Illuminate\Cache\Events\CacheHit (178μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (179μs)
      • Illuminate\Cache\Events\CacheHit (8.59ms)
      • Illuminate\Cache\Events\CacheHit (522μs)
      • Illuminate\Cache\Events\CacheHit (223μs)
      • Illuminate\Cache\Events\CacheHit (199μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (436μs)
      • creating: components.forms.contact-us (481μs)
      • composing: components.forms.contact-us (279μs)
      • creating: components.forms.get-started (179μs)
      • composing: components.forms.get-started (82μs)
      • creating: components.forms.free-tool-download (103μs)
      • composing: components.forms.free-tool-download (64μs)
      • creating: components.forms.claim-free-worksheet (98μs)
      • composing: components.forms.claim-free-worksheet (62μs)
      • creating: components.forms.tutor-subscription-waitlist (24.73ms)
      • composing: components.forms.tutor-subscription-waitlist (141μs)
      • creating: components.forms.tutor-subscription-join (612μs)
      • composing: components.forms.tutor-subscription-join (100μs)
      • creating: components.forms.tutor-support (117μs)
      • composing: components.forms.tutor-support (69μs)
      • 321 x Illuminate\Cache\Events\CacheHit (18.41%)
        221ms
        10 x Illuminate\Database\Events\StatementPrepared (3.56%)
        42.80ms
        1 x creating: components.forms.tutor-subscription-waitlist (2.06%)
        24.73ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (1.81%)
        21.81ms
        10 x Illuminate\Database\Events\QueryExecuted (1.81%)
        21.77ms
        1 x Illuminate\Routing\Events\RouteMatched (1.12%)
        13.51ms
        1 x composing: components.canonical (0.68%)
        8.22ms
        1 x Illuminate\Cache\Events\KeyWritten (0.12%)
        1.42ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.1%)
        1.24ms
        1 x Illuminate\Routing\Events\Routing (0.1%)
        1.21ms
        1 x creating: components.breadcrumbs (0.07%)
        841μs
        1 x creating: components.canonical (0.06%)
        695μs
        1 x creating: site.headers.header (0.05%)
        613μs
        1 x creating: components.forms.tutor-subscription-join (0.05%)
        612μs
        1 x creating: components.forms.contact-us (0.04%)
        481μs
        1 x creating: site.layouts.app (0.04%)
        478μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        414μs
        2 x eloquent.retrieved: App\Models\Subject (0.03%)
        406μs
        1 x creating: homework.show (0.03%)
        382μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        364μs
        1 x composing: components.open-graph (0.03%)
        354μs
        1 x eloquent.booting: App\Models\SubjectCat (0.03%)
        353μs
        2 x eloquent.retrieved: App\Models\SubjectCat (0.03%)
        327μs
        1 x creating: components.open-graph (0.02%)
        297μs
        1 x composing: components.forms.contact-us (0.02%)
        279μs
        1 x composing: homework.show (0.02%)
        271μs
        1 x Illuminate\Cache\Events\CacheMissed (0.02%)
        252μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        237μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.02%)
        237μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)
        183μs
        1 x creating: components.forms.get-started (0.01%)
        179μs
        1 x composing: components.breadcrumbs (0.01%)
        161μs
        1 x composing: components.footer (0.01%)
        153μs
        1 x composing: site.headers.header (0.01%)
        144μs
        1 x creating: components.footer (0.01%)
        142μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        141μs
        1 x creating: components.forms.tutor-support (0.01%)
        117μs
        1 x eloquent.booting: App\Models\Subject (0.01%)
        104μs
        1 x creating: components.forms.free-tool-download (0.01%)
        103μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        100μs
        1 x creating: components.forms.claim-free-worksheet (0.01%)
        98μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        92μs
        1 x composing: components.forms.get-started (0.01%)
        82μs
        1 x composing: components.forms.tutor-support (0.01%)
        69μs
        1 x composing: components.forms.free-tool-download (0.01%)
        64μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        62μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        62μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        62μs
        1 x composing: site.layouts.app (0%)
        24μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      10 statements were executed, 4 of which were duplicates, 6 unique. Show only duplicated47.48ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '62657' limit 1
        12.12mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 62657
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (223)
        9.93mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (62657)
        2.44mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.06mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 62657 and `subject` = 223 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        3.51mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 62657
        • 1: 223
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (223)
        1.12mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62657 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        7.87mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62657
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62657 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        1.41mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62657
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 62657 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        1.34mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 62657
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        6.68mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 34
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      7HomeworkLibraryFile.php
      App\Models\Subject
      2Subject.php
      App\Models\SubjectCat
      2SubjectCat.php
          _token
          e5IqvjQhhvXQi6IDSLWgjDDXsKa5OgPJsHQWCGOM
          utm_source
          direct
          redirectUrl
          /college-homework-library/Physics/Astrophysics/62657
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Physics/Astroph...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Physics/Astrophysics/62657
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:21 [ "priority" => array:1 [ 0 => "u=0, i" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-amzn-trace-id" => array:1 [ 0 => "Root=1-67fbadd0-7c8406f32cf95ec02ebb711d" ] "host" => array:1 [ 0 => "staging.dev.24houranswers.com" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-for" => array:1 [ 0 => "3.135.185.223" ] "content-length" => array:1 [ 0 => "" ] "content-type" => array:1 [ 0 => "" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:5 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Sun, 13 Apr 2025 12:28:02 GMT" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IktTYi9MTWlNaVZFdTFpeXNtNHRCRlE9PSIsInZhbHVlIjoieC9NQmVBQ2JCR1JobGdMNlJlMVdMUXFFdWZNYm9ybjhUcEJtRFg1NnU1ODFFeHRDakxYRXpmRHlmOW8rQ0lwQkFCWmJIcnZUQzU0c2xEWXJla1phSGFnMVI0N0w4OWljZEl2bzQvL2dnUWVPTEJIbEdVU1dYYTlPM0FSMWRpVUEiLCJtYWMiOiJmYWY1NThkNDY1MjA4NWVlYTYyZDMxYTcyODQwNzE5Y2Y2N2ZjOTViN2ZlNDNjZmFhZTEwNjYzNTkzMmI3Mjk5IiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 14:28:02 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; samesite=laxXSRF-TOKEN=eyJpdiI6IktTYi9MTWlNaVZFdTFpeXNtNHRCRlE9PSIsInZhbHVlIjoieC9NQmVBQ2JCR1JobGdMNlJlMVdMUXFFdWZNYm9ybjhUcEJtRFg1NnU1ODFFeHRDakxYRXpmRHlmOW8rQ0lwQkFCWmJIc" 1 => "24houranswers_session=eyJpdiI6IlZHak1XNit0SW52K3R4dUNKRElYQ3c9PSIsInZhbHVlIjoiTTkrYThaM1F0eUtGK2s4ZDMwOGIwTXBvMHhkUkxtUms0OUcwdDEybVh4QUVCbzRGK0hBdTVmcEhRL2MvVFFDdDhCNVhoMWNMNlRyQTdweEg5NXFjd1ZwMUcrMWdXQUlLVURId2RaS2lWYmpJdXZObXBuMnl0MTBiV2IzaEpNUDMiLCJtYWMiOiI2N2E3M2FkODJjNDYwN2ZkYTY5NWQwODFkYzNmYjVhYTAyOTU3NWUzZWRiY2JlZDNjMDg1ZjBmOTg5NjlkOTg3IiwidGFnIjoiIn0%3D; expires=Sun, 13 Apr 2025 14:28:02 GMT; Max-Age=7200; path=/; domain=.24houranswers.com; httponly; samesite=lax24houranswers_session=eyJpdiI6IlZHak1XNit0SW52K3R4dUNKRElYQ3c9PSIsInZhbHVlIjoiTTkrYThaM1F0eUtGK2s4ZDMwOGIwTXBvMHhkUkxtUms0OUcwdDEybVh4QUVCbzRGK0hBdTVmcEhRL2MvVF" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6IktTYi9MTWlNaVZFdTFpeXNtNHRCRlE9PSIsInZhbHVlIjoieC9NQmVBQ2JCR1JobGdMNlJlMVdMUXFFdWZNYm9ybjhUcEJtRFg1NnU1ODFFeHRDakxYRXpmRHlmOW8rQ0lwQkFCWmJIcnZUQzU0c2xEWXJla1phSGFnMVI0N0w4OWljZEl2bzQvL2dnUWVPTEJIbEdVU1dYYTlPM0FSMWRpVUEiLCJtYWMiOiJmYWY1NThkNDY1MjA4NWVlYTYyZDMxYTcyODQwNzE5Y2Y2N2ZjOTViN2ZlNDNjZmFhZTEwNjYzNTkzMmI3Mjk5IiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 14:28:02 GMT; domain=.24houranswers.com; path=/XSRF-TOKEN=eyJpdiI6IktTYi9MTWlNaVZFdTFpeXNtNHRCRlE9PSIsInZhbHVlIjoieC9NQmVBQ2JCR1JobGdMNlJlMVdMUXFFdWZNYm9ybjhUcEJtRFg1NnU1ODFFeHRDakxYRXpmRHlmOW8rQ0lwQkFCWmJIc" 1 => "24houranswers_session=eyJpdiI6IlZHak1XNit0SW52K3R4dUNKRElYQ3c9PSIsInZhbHVlIjoiTTkrYThaM1F0eUtGK2s4ZDMwOGIwTXBvMHhkUkxtUms0OUcwdDEybVh4QUVCbzRGK0hBdTVmcEhRL2MvVFFDdDhCNVhoMWNMNlRyQTdweEg5NXFjd1ZwMUcrMWdXQUlLVURId2RaS2lWYmpJdXZObXBuMnl0MTBiV2IzaEpNUDMiLCJtYWMiOiI2N2E3M2FkODJjNDYwN2ZkYTY5NWQwODFkYzNmYjVhYTAyOTU3NWUzZWRiY2JlZDNjMDg1ZjBmOTg5NjlkOTg3IiwidGFnIjoiIn0%3D; expires=Sun, 13-Apr-2025 14:28:02 GMT; domain=.24houranswers.com; path=/; httponly24houranswers_session=eyJpdiI6IlZHak1XNit0SW52K3R4dUNKRElYQ3c9PSIsInZhbHVlIjoiTTkrYThaM1F0eUtGK2s4ZDMwOGIwTXBvMHhkUkxtUms0OUcwdDEybVh4QUVCbzRGK0hBdTVmcEhRL2MvVF" ] ]
          session_attributes
          0 of 0
          array:6 [ "_token" => "e5IqvjQhhvXQi6IDSLWgjDDXsKa5OgPJsHQWCGOM" "utm_source" => "direct" "redirectUrl" => "/college-homework-library/Physics/Astrophysics/62657" "_previous" => array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Physics/Astrophysics/62657" ] "_flash" => array:2 [ "old" => [] "new" => [] ] "PHPDEBUGBAR_STACK_DATA" => [] ]