Two identical bodies have temperatures `277^(@)C` and `67^(@)C`. If the surrounding temperature is `27^(@)C`, the ratio of loss pf heats of the two bodies during the same interval of time is (apporximately).

Options

A. `4: 1`
B. `8: 1`
C. `12 : 1`
D. `19 : 1`

Answer

D

Explanation

Heat emitted or absorbed by a body , `E = sigma = (T^(4) -T_(s)^(4))`
`(E_(1))/(E_(2)) = (T_(1)^(4) - T_(s)^(4))/(T_(2)^(4) -T_(s)^(4))`
`implies (E_(1))/(E_(2)) =( (277 + 273)^(4) - (27 + 273)^(4))/((67+ 273 )^(4) - (27 +273 )^(4))`
`therefore E_(1) : E_(2) cong 19 : 1 `