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The surface temperature of the sun is 'T...

The surface temperature of the sun is `'T'K` and the solar constant for a plte is `'s'`. The sun subtends an angle `theta` at the planet. Then,

A

`spropT^(4)`

B

`spropT^(2)`

C

`sproptheta^(2)`

D

`sproptheta`

Text Solution

Verified by Experts

(a) Let radius of sun`=R`
Distance of earth from the sun`=d`
Power radiated from the sun `=(4piR^(2))sigmaT^(4)=P`
Energy receied /area/s`=S=P/(4pid^(2))`
`=4piR^(2)sigma(T^(4))/(4pid^(2))=sigmaT^(4)(R^(2))/(d^(2))=1/4 sigma T^(4)((2R)/d)^(2)`
Angle subtended by sun at earth `alpha=(2R)/d`
`S=` constant `xxT^(4)xxalpha^(2)`
`:. SpropT^(4)`
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Knowledge Check

  • The surface temperature of the Sun is about

    A
    `5000^@C`
    B
    `5000K`
    C
    `6000^@C`
    D
    `6000K`

  • Surface temperature of Sun is

    A
    2000-`3000^(@)`C
    B
    `6000^(@)`C
    C
    `10000^(@)`C
    D
    `50000^(@)`C

  • The surface temperature of the Sun is approximately :

    A
    `5000^@ C`
    B
    `1000^@C`
    C
    `2000^@C`
    D
    `4000^@C`

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    The solar constant for a planet is sum . The surface temperature of the sun is T K. if the sun subtends an angle theta at the planet, then

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