Question

Two stars A and B radiate maximum energy at 3600 $\dot{A}$ and 4800 $\dot{A}$ respectively. Then the ratio of absolute temperature of A and B is

• A. 256 : 81
• B. 81 : 256
• C. 4 : 3
• D. 3 : 4

Answer 1

Answer: (C)

4 : 3

Using Wein's displacement law ${\lambda }_{m}T=b_o\Rightarrow \frac{{\lambda }_A}{{\lambda }_B}=\frac{T_B}{T_A}=\frac{3600}{4800}\Rightarrow 3:4$

thus $T_A:T_B$ is $4:3$; answer C is correct

The temperature ratio can be determined by Wein's Displacement law, which is inversely proportional to their maximum energy wavelength. Thus the correct answer is C.