Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10 4 times the power emitted from B . The ratio λ A λ B of their wavelengths λ A and λ B at which the peaks occur in their respective radiation curves is

Question

Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10 4 times the power emitted from B . The ratio &#955; A &#955; B of their wavelengths &#955; A and &#955; B at which the peaks occur in their respective radiation curves is

Aicharya · Accepted Answer

P = e &#963; A T 4 &#955; T = constant P A P B = e &#963; A A T A 4 e &#963; A B T B 4 = A A A B T A 4 T B 4 = r A 2 r B 2 . &#955; B 4 &#955; A 4 10 4 = 400 2 . &#955; B &#955; A 4 10 4 16 &#215; 10 4 = &#955; B &#955; A 4 &#955; A &#955; B = 16 1 1 4 = 2

Two spherical stars A and B emit blackbody radiation. The radius of A is 400 times that of B and A emits 10…

Solution