(D) According to Stefan-Boltzmann law, the power $P$ radiated by a black body of surface area $A$ at absolute temperature $T$ is given by $P = \sigma

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

(D) According to Stefan-Boltzmann law, the power $P$ radiated by a black body of surface area $A$ at absolute temperature $T$ is given by $P = \sigma A T^4$.Given values:$\sigma = 5.67 \times 10^{-8} \ W m^{-2} K^{-4}$$T = 727^{\circ} C = 727 + 273 = 1000 \ K$$A = 200 \ mm^2 = 200 \times 10^{-6} \ m^2$Substituting these values into the formula:$P = (5.67 \times 10^{-8}) \times (200 \times 10^{-6}) \times (1000)^4$$P = 5.67 \times 10^{-8} \times 200 \times 10^{-6} \times 10^{12}$$P = 5.67 \times 2 \times 10^2 \times 10^{-14} \times 10^{12}$$P = 11.34 \times 10^2 \times 10^{-2}$$P = 11.34 \ J/s$.

Class 11 Physics 10-2.Heat Transfer Radiation by Stefan's Boltzmann Law

Difficult

$A$ very small hole in an electric furnace is used for heating metals. The hole nearly acts as a black body. The area of the hole is $200 \ mm^2$. To keep a metal at $727^{\circ} C$, the heat energy flowing through this hole per second, in joules, is (given $\sigma = 5.67 \times 10^{-8} \ W m^{-2} K^{-4}$):

TS EAMCET 2014 All TS EAMCET

AP EAMCET 2014 All AP EAMCET

A
$22.68$
B
$2.268$
C
$1.134$
D
$11.34$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Physics Questions

Chapter

10-2.Heat Transfer

Subtopic

Radiation by Stefan's Boltzmann Law

Previous Year

TS EAMCET 2014 Paper All TS EAMCET years →

Previous Year

AP EAMCET 2014 Paper All AP EAMCET years →

Find the emissive power from the $0.3 \, cm^2$ surface of a tungsten filament bulb at $3000 \, K$ temperature. Take emissivity $e = 0.4$ for the tungsten bulb. (in $, W$)

Easy

View Solution

At $127^{\circ}C$,the radiated energy is $2.7 \times 10^{-3} \text{ J/s}$. At what temperature in $K$ is the radiated energy $4.32 \times 10^{6} \text{ J/s}$?

Medium

View Solution

When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from $0.26 \mu m$ to $0.13 \mu m$. The ratio of the emissive powers of the body at the respective temperatures is

DifficultTS EAMCET 2002

View Solution

Find the rate of energy radiated per minute by an incandescent lamp at $2000 \ K$. The surface area is $5 \times 10^{-5} \ m^{2}$,the emissivity is $0.85$,and $\sigma = 5.7 \times 10^{-8} \ W \ m^{-2} \ K^{-4}$. (in $J$)

Medium

View Solution

$A$ solid copper sphere (density $\rho$ and specific heat capacity $c$) of radius $r$ at an initial temperature $200 \, K$ is suspended inside a chamber whose walls are at almost $0 \, K$. The time required (in $\mu s$) for the temperature of the sphere to drop to $100 \, K$ is:

DifficultIIT 1991

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Similar Questions

Find the emissive power from the $0.3 \, cm^2$ surface of a tungsten filament bulb at $3000 \, K$ temperature. Take emissivity $e = 0.4$ for the tungsten bulb. (in $, W$)

At $127^{\circ}C$,the radiated energy is $2.7 \times 10^{-3} \text{ J/s}$. At what temperature in $K$ is the radiated energy $4.32 \times 10^{6} \text{ J/s}$?

When the temperature of a black body increases, it is observed that the wavelength corresponding to maximum energy changes from $0.26 \mu m$ to $0.13 \mu m$. The ratio of the emissive powers of the body at the respective temperatures is

Find the rate of energy radiated per minute by an incandescent lamp at $2000 \ K$. The surface area is $5 \times 10^{-5} \ m^{2}$,the emissivity is $0.85$,and $\sigma = 5.7 \times 10^{-8} \ W \ m^{-2} \ K^{-4}$. (in $J$)

$A$ solid copper sphere (density $\rho$ and specific heat capacity $c$) of radius $r$ at an initial temperature $200 \, K$ is suspended inside a chamber whose walls are at almost $0 \, K$. The time required (in $\mu s$) for the temperature of the sphere to drop to $100 \, K$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module