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If temperature of black body increases f...

If temperature of black body increases from `300K` to `900K`, then the rate of energy radiation increases by

A

81

B

3

C

9

D

2

Text Solution

Verified by Experts

The correct Answer is:
a

Acoording to Stefan.s law `rho=(E )/(t)=sigmaAeT^(4)`
So , we can write as
`(E_(2))/(E_(1))=(T_(2)/T_(1))^(4)`
`(E_(2))/(E_(1))=((900)/(300))^(4)rArr(E_(2))/(E_(1))=(3)^(4)`
`E_(2)=81E_(1)rArr(E_(2))/(E_(1))=81`
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Knowledge Check

  • If temperature of a black body increases from 7^(@)C to 287^(@)C , then the rate of energy radiation increases by

    A
    `((287)/(7))^(4)`
    B
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    C
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    4
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  • The temperature of a black body is increased from 7^(@)C to 567^(@)C , then the rate of energy radiation becomes

    A
    3 times
    B
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    C
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    D
    81 times
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