Assuming stars as black body radiators. Two stars emit radiations having peak wavelengths in the ratio 1/2 . If their radii are in the ratio 1/2 , then ratio of energy radiated by them per second will be
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Answer:
stephan's law:
Δt
ΔQ
=σeAT
4
Given (
Δt
ΔQ
)
A
=10
4
(
Δt
ΔQ
)
B
σeA
A
T
A
4
=10
4
σeA
B
T
B
4
(
T
B
T
A
)
4
=10
4
A
A
A
B
T
B
T
A
=10(
A
A
A
B
)
4
1
T
B
T
A
=10(
πR
A
2
πR
B
2
)
4
1
Given
R
B
R
A
=400
T
B
T
A
=10(
400
2
1
)
4
1
T
B
T
A
=
20
10
=
2
1
From wein's displcament law
λ
m
T=b
λα
T
1
λ
B
λ
A
=
T
A
T
B
=2
Hence, correct answer is 2.
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