The temperatures of two bodies A and B are 72 | 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 rate of energy emission $H$ is proportional to the fourth power of the absolute temperature $T$,i.e.,$H

Vedclass · Accepted Answer

$625 : 81$

Vedclass · Answer

(D) According to the Stefan-Boltzmann law,the rate of energy emission $H$ is proportional to the fourth power of the absolute temperature $T$,i.e.,$H \propto T^4$.First,convert the temperatures from Celsius to Kelvin:$T_A = 727 + 273 = 1000 \ K$$T_B = 327 + 273 = 600 \ K$Now,calculate the ratio of the rates of energy emission:$\frac{H_A}{H_B} = \left( \frac{T_A}{T_B} \right)^4$$\frac{H_A}{H_B} = \left( \frac{1000}{600} \right)^4 = \left( \frac{10}{6} \right)^4 = \left( \frac{5}{3} \right)^4$$\frac{H_A}{H_B} = \frac{5^4}{3^4} = \frac{625}{81}$Therefore,the ratio $H_A : H_B$ is $625 : 81$.

The temperatures of two bodies $A$ and $B$ are $727^{\circ}C$ and $327^{\circ}C$ respectively. What is the ratio of their rates of energy emission $H_A : H_B$?

Similar Questions

$A$ star emits radiation with maximum intensity at a wavelength of $289.9 \, nm$. What is the intensity of the radiation emitted by the star? (Given: Stefan's constant $\sigma = 5.67 \times 10^{-8} \, W/m^2K^4$,Wien's constant $b = 2898 \, \mu m \cdot K$)

If the temperature of the body is increased by $10\%$,the percentage increase in the emitted radiation will be ....... $\%$

Radiated energy at $T$ temperature is $E$ for a body of diameter $d$. If the temperature becomes $2T$ and the diameter becomes $d/4$,then the radiated energy will be:

For a black body at temperature $727^{\circ} C$,its radiating power is $60\; W$ and the temperature of the surrounding is $227^{\circ} C$. If the temperature of the black body is changed to $1227^{\circ} C$,then its radiating power will be ..... $W$.

If the temperature of the sun is doubled,the rate of energy received by the earth will be increased by a factor of:

Vedclass Test Series

Exam Paper Generator

Online Exam Module