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The ratio of energies of emtiied radiati...

The ratio of energies of emtiied radiation by a black body at 600 K and 900 K when the surrounding temperature is 300, is

A

`(5)/(16)`

B

`(7)/(16)`

C

`(3)/(16`

D

`(9)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
The energy radiated by black body is given by.
`(Q)/(At)prop(T^(4)-t^(4))`
`(Q_(1))/(Q_(2))=((600)^(4)-(300)^(-4))/((900)^(4)-(300)^(4))=(3)/(16)`
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Knowledge Check

  • The rate of emission of radiation of a black body at temperature 27^(@)C is E_(1) . If its temperature is increased to 327^(@)C the rate of emission of radiation is E_(2) . The relation between E_(1) and E_(2) is

    A
    `E_(2)=24E_(1)`
    B
    `E_(2)=16E_(1)`
    C
    `E_(2)=8E_(1)`
    D
    `E_(2)=4E_(1)`

  • The rate of emission of radiation of a black body at temperature 27^(@) C is E_(1) . If its temperature is increased to 327oC the rate of emission of radiation is Ee_(2) . The relation between E_(1) and E_(2) is

    A
    `E_(2) = 24 E_(1)`
    B
    `E_(2) = 16 E_(1)`
    C
    `E_(1) = 8 _(1) `
    D
    `E_(2) = 4 E_(1) `

  • The rate of emission of radiation of a black body at temperature 27^(@)C is E_(1) . If its temperature is increased to 327^(@)C the rate of emission of radiation is E_(2) . The relation between E_(1)andE_(2) is

    A
    `E_(2)=24E_(1)`
    B
    `E_(2)=16E_(1)`
    C
    `E_(2)=8E_(1)`
    D
    `E_(2)=4E_(1)`

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