Transmission Of Heat Question 203

Question: A black body radiates energy at the rate of $ E $ W/m2 at a high temperature TK. When the temperature is reduced to $ \frac{T}{2}K $ , the radiant energy will be

[CPMT 1988; UPSEAT 1998; MNR 1993; SCRA 1996; MP PMT 1992; DPMT 2001; MH CET 2001]

Options:

A) $ \frac{E}{16} $

B) $ \frac{E}{4} $

C) $ 4E $

D) $ 16E $

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Answer:

Correct Answer: A

Solution:

$ E\propto T^{4}\Rightarrow \frac{E _{1}}{E _{2}}=\frac{T^{4}}{T^{4}}\times 2^{4}\Rightarrow E _{2}=\frac{E}{16} $