Three stars radiate energy such that their radiated power depends on wavelength of radiation emitted as shown below. They can be considered as black bodies. The area under graph for A & C are equal. W

Question

Three stars radiate energy such that their radiated power depends on wavelength of radiation emitted as shown below. They can be considered as black bodies. The area under graph for A & C are equal. Which of the following statement(s) are CORRECT? dP is power emitted by star from wavelength $λ$ to $λ + d λ . \frac{dP}{d λ}$ is plotted against $λ$ .

TestHub · Accepted Answer

λ m ​ ∝ T 1 ​ ​ λ A ​ = λ B ​ < λ C ​ ​ T A ​ = T B ​ > T C ​ ​ P ∝ T 4 A ​ Area under d λ dP ​ & λ curve is P. Curve Area A = Area C ​ P A ​ = P C ​ ​ T A 4 ​ A A ​ = T C 4 ​ A C ​ ​ ∵ T A ​ > T C ​ ⇒ A C ​ > A A ​ ⇒ R C ​ > R A ​ ​ Curve Area B > Area A ​ P B ​ > P A ​ ​ T B 4 ​ A B ​ > T A 4 ​ A A ​ ​ T B ​ = T A ​ ⇒ A B ​ > A A ​ ⇒ R B ​ > R A ​ ​

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