Home
Class 11
PHYSICS
If the sun's surface radiates heat at 6....

If the sun's surface radiates heat at `6.3 xx 10^(7) Wm^(-2)`. Calculate the temperature of the sun assuming it to be a black body `(sigma = 5.7 xx 10^(-8)Wm^(-2)K^(-4))`

A

`5.8xx10^3`K

B

`8.5 xx10^3` K

C

`3.5 xx 10^8` K

D

`5.3 xx 10^8` K

Text Solution

Verified by Experts

The correct Answer is:
A
Since, `E=sigma T^4`
`implies T^4 =(E)/(sigma)=(6.3 xx 10^7)/(5.7 xx 10^(-8)) implies T=5.8 xx 10^3` K
Promotional Banner

Topper's Solved these Questions

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (Newton.s Law of Cooling))|11 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise PAST YEARS QUESTIONS|21 Videos

  • TRANSMISSION OF HEAT

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Radiation (Wien.s law))|13 Videos

  • THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY

    ERRORLESS|Exercise ASSERTION & REASON|10 Videos

  • UNITS, DIMENSIONS AND MEASUREMENT

    ERRORLESS|Exercise ASSERTION & REASON |17 Videos

Similar Questions

Explore conceptually related problems

The solar energy received by the Earth persquare metre per minute is 8.315 xx 10^(4)Jm^(-2)min^(-1) . If the radius of the Sun is 7.5 xx 10^(5) km and the distance of the Earth from the Sun is 1.5 xx10^(8) km, calculate the surface temperature of Sun. Assume the Sun as a perfect black body. Given that Stefen constanta sigma = 5.7 xx 10^(-8)Wm^(-2)K^(-4).

The power of black body at temperature 200 K is 544 W .Its surface area is (sigma=5.67xx10^(-8)Wm^(-2)K^(-2))

If each square metre, of sun's surface radiates energy at the rate of 6.3xx10^(7) jm^(-2) s^(-1) and the Stefan's constant is 5.669xx10^(-8) Wm^(-2) K^(-4) calculate the temperature of the sun's surface, assuming Stefan's law applies to the sun's radiation.

The radiant power of a furnace of surface area of 0.6m^(2) is 34.2KW The temperature of the furance s [sigma = 5.7 xx 10^(-8) Wm^(-2) K^(-4) .

Consider the sun to be a perfect sphere of radius 6.8 xx 10^(8)m . Calculate the energy radiated by sun in one minute. Surface temperature of the sun = 6200 K . Stefan's constant = 5.67 xx 10^(-8) J m^(-2) s^(-1) K^(-4) .

Calculate the energy radiated per second from the filament of an incandescent lamp at 2000K, if the surface area is 5.0 xx 10^(-5) m^(-2) and its relative emittance is 0.85 & sigma = 5.7 xx 10^(-8) W m^(-2) K^(-4)

The surface area of a black body is 5xx10^(-4) m^(2) and its temperature is 727^@C . Energy radiated by it per minute is (Take sigma =5.67xx10^(-8) "J m"^(-2) s^(-1) K^(-4) )

The earth receives solar energy at the rate of 2 cal Cm^(-2) per minute. Assuming theradiation tobeblack body in character, estimate the surface temperature of the sun. Given that sigma =5.67 xx10^(-8) Wm^(-2)K^(-4) and angular diameter of the sun =32 minute of arc.

Calculate the energy radiation by the sun in 2 mins if it is considered to be perfect sphere of radius 6.8 xx 10^8 m and its surface temperature is approximately 6200 K. Take sigma = 5.67 xx 10^(-8) Jm^(-2) s^(-1) K^(-4)

The intensity of salr radiation just outside the earth's atmosphere is measured to be 1.4 kW//m^2 . If the radius of the sun 7xx10^8m , while the earth-sun distance is 150xx10^6km , then find i. the intensity of salr radiation at the surface of the sun. ii. the temperature at the surface of the sun assuming it to be a black body, iii. the most probable wavelength in solar radiation.

ERRORLESS-TRANSMISSION OF HEAT -NCERT BASED QUESTIONS (Radiation (Stefan.s law))
  1. If the temperature of a hot body is increased by 50%, then the increas...

    Text Solution

    |

  2. The radiation emitted by a star A is 10,000 times that of the sun. If ...

    Text Solution

    |

  3. The total energy radiated from a block body source at constant tempera...

    Text Solution

    |

  4. The top of an insulated cylindrical container is covered by a disc hav...

    Text Solution

    |

  5. The total energy of a black body radiation source is collected for fiv...

    Text Solution

    |

  6. The rate of radiation of a black body at 0° C is E . The rate of radia...

    Text Solution

    |

  7. A black body radiates energy at the rate of E W//m at a high temperat...

    Text Solution

    |

  8. A black body at 227^(@)C radiates heat at the rate of 7 cal cm^(-2) s...

    Text Solution

    |

  9. If the sun's surface radiates heat at 6.3 xx 10^(7) Wm^(-2). Calculate...

    Text Solution

    |

  10. A sphere at temperature 600 K is placed in an enviroment to temperatur...

    Text Solution

    |

  11. Which of the following graphs correctly represents the relation betwe...

    Text Solution

    |

  12. If temperature of a black body increases from 7^(@)C to 287^(@)C , the...

    Text Solution

    |

  13. The tungsten filament of an electric lamp has a surface areaA and a po...

    Text Solution

    |

  14. Two spherical black bodies of radii r1 and r2 and with surface tempera...

    Text Solution

    |

  15. The total radiative power emitted by spherical blackbody with radius R...

    Text Solution

    |

  16. Assuming the sun to have a spherical outer surface of radius r radiati...

    Text Solution

    |

  17. The energy spectrum f a black body exhibits a maximum around a wavelen...

    Text Solution

    |

  18. A sphere a cube and thin circular plate, all made of the same material...

    Text Solution

    |

  19. Two circular disc A and B with equal radii are blackened. They are hea...

    Text Solution

    |

  20. A hollow copper sphere S and a hollow copper cube C, both of negligibl...

    Text Solution

    |