A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250 nm is U1,  at wavelength 500 nm is U2 and that at 1000 nm is U3. Wien's constant, b = 2.88 \times 106 nmK. Which of the following is correct?

  • Option 1)

    U1 = 0

  • Option 2)

    U3 = 0

  • Option 3)

    U1 > U2

  • Option 4)

    U2 > U1

 

Answers (1)

As discussed

Stefan's Law -

Radiant energy emitted by a perfectly black body per unit area per sec is directly proportional to 4th power of temperature of the body.

-

 

 \lambda _{m}T=b\\ \lambda _{m}=\frac{2.88\times 10^{6}nm}{5760}K=500nm

Hence energy radiated at 500nm is maximum 

V_{1< }V_{2}> V_{3}


Option 1)

U1 = 0

This option is incorrect 

Option 2)

U3 = 0

This option is incorrect 

Option 3)

U1 > U2

This option is incorrect 

Option 4)

U2 > U1

This option is correct 

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