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 `((lambda_A)/(lambda_B))` of their wavelengths `lambda_A and lambda_B` at which the peaks occur in their respective radiation curves is

Answer

B

Explanation

(2) `(P_A)/(P_B)=(A_AT_A^4)/(A_BT_B^4)=(A_A)/(A_B)xx(lambda_B^4)/(lambda_A^4)`
`(lambda_A)/(lambda_B)=[(A_A)/(A_B)xx(P_B)/(P_A)]^(1/4)=[(R_A^2)/(R_B^2)xx(P_B)/(P_A)]^(1/4)=[(400xx400)/(10^4)]^(1/4)`
`:. (lambda_A)/(lambda_B)=2`