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Question: A black body is at a temperature of 2880K. The energy of radiation emitted by this object with wave ...

A black body is at a temperature of 2880K. The energy of radiation emitted by this object with wave length between 499 nm and 500 nm is U1, between 999 nm and 1000 nm is U2 and between 1499 nm and 1500 nm is U3.

Wein constant b=2.88 x 106nmK. Then

A

U1 = 0

B

U3 = 0

C

U1 = U2

D

U2> U1

Answer

U2> U1

Explanation

Solution

From wine’s Law constant. Where T is temperature of black body and is wavelength corresponding to maximum energy of emission.

Energy distribution of blackbody radiation is given below :

1. U1\mathrm { U } _ { 1 } and are not zero because a blackbody emits nearly radiation’s of all wavelengths.

2. Since U1\mathrm { U } _ { 1 } corresponds lower wavelength and corresponds higher wavelength and corresponds medium wavelength. Hence U2>U1U _ { 2 } > U _ { 1 } .