thermal physics qa 3/ stefan's law

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© Physics Helpl ine Physics Helpline L K Satapathy Thermal Physics 3 Stefan’s Law & Wien’s Displacement Law

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Page 1: Thermal Physics QA 3/ Stefan's Law

© Physics

Helpline

Physics Helpline

L K Satapathy

Thermal Physics 3

Stefan’s Law&

Wien’s Displacement Law

Page 2: Thermal Physics QA 3/ Stefan's Law

© Physics

Helpline

Physics Helpline

L K Satapathy

Thermal Physics 3

Question : Two spherical stars A and B emit black body radiation. The radius of A is 400 times that of B and A emits times the power emitted from B . The ratio of their wave lengths at which the peaks occur in their respective radiation curves is

(a) 2 (b) 3 (c) 4 (d) 6

A B &A B

410

Answer :

Stefan’s Law :

Power radiated by a spherical star / unit area of its surface is 4E T

[ Where Temperature of the star = T & Stefan’s constant = ]

Total Power radiated by the star is given by 4P E A AT

[ Where surface area of the star = A ]

If radius of the star = R , then 2 2 44 4A R P R T

Page 3: Thermal Physics QA 3/ Stefan's Law

© Physics

Helpline

Physics Helpline

L K Satapathy

Thermal Physics 3

4 4

4

10 120 2

A A

B B

T TT T

2 [ ]A B

B A

TT

Ans

Correct option = (a)

2 4

A A A

B B B

P R TP R T

For stars A & B: 2 4 2 44 & 4A A A B B BP R T P R T

Again from Wien’s Law , we have .T = constant

4

4 210 400 A

B

TT

Page 4: Thermal Physics QA 3/ Stefan's Law

© Physics

Helpline

Physics Helpline

L K Satapathy

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