The rate of heat radiation from two patches of skin each of area S, on a patient's chest differ by 2%. lf the patch of the lower temperature is at 300 K and the emissivity of both the patches is assumed to be unity, the temperature of the other patch is closest to
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a
301.5 K
b
306 K
c
308.5 K
d
312 K
answer is A.
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Detailed Solution
Here E1=σT4and E2=σ(T+ΔT)4∴ E2−E1E1=4ΔTT=2100or 4×ΔT300=2100 or ΔT=1⋅5K∴ T+ΔT=300+1⋅5=301⋅5K