The radiant energy from the sun incident norm | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to the Stefan-Boltzmann law,the radiant energy $E$ emitted by a black body is proportional to the fourth power of its absolute temperatu

Vedclass · Accepted Answer

$320$

Vedclass · Answer

(D) According to the Stefan-Boltzmann law,the radiant energy $E$ emitted by a black body is proportional to the fourth power of its absolute temperature $T$,i.e.,$E \propto T^4$.Let $E_1$ be the initial radiant energy and $T_1$ be the initial temperature of the sun. Given $E_1 = 20 \, kcal/m^2-min$.Let $E_2$ be the new radiant energy and $T_2$ be the new temperature of the sun,where $T_2 = 2T_1$.Using the ratio formula: $\frac{E_1}{E_2} = \left(\frac{T_1}{T_2}ight)^4$.Substituting the values: $\frac{20}{E_2} = \left(\frac{T_1}{2T_1}ight)^4 = \left(\frac{1}{2}ight)^4 = \frac{1}{16}$.Therefore,$E_2 = 20 	imes 16 = 320 \, kcal/m^2-min$.

The radiant energy from the sun incident normally at the surface of the earth is $20 \, kcal/m^2-min$. What would have been the radiant energy incident normally on the earth if the sun had a temperature twice of the present one? ........... $kcal/m^2-min$

Similar Questions

........ of a reaction cannot be determined experimentally.

The correct stability order for $N_2$ and its given ions is

$A$ ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. Which figure represents the track of its centre of mass?

Which one of the following conditions correctly describes the manner of determining the sex?

During meiosis $I,$ the chromosomes start pairing at

Vedclass Test Series

Exam Paper Generator

Online Exam Module