Transmission Of Heat Question 316

Question: Two black metallic spheres of radius 4m, at 2000 K and 1m at 4000 K will have ratio of energy radiation as

Options:

A) 1 : 1

B) 4 : 1

C) 1 : 4

D) 2 : 1

Show Answer

Answer:

Correct Answer: A

Solution:

$ \frac{Q _{1}}{Q _{2}}=\frac{r _{1}^{2}T _{1}^{4}}{r _{2}^{2}T _{2}^{4}} $

$ =\frac{4^{2}}{1^{2}}\times {{( \frac{2000}{4000} )}^{4}}=1 $