The maximum wavelength of radiation at 2000 K is 4 μm . What will be the maximum wavelength emitted at 2400 K ?

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Question: Answered & Verified by Expert

The maximum wavelength of radiation at

2000 K

is

4 μm

. What will be the maximum wavelength emitted at

2400 K

?

PhysicsThermal Properties of MatterNEET

Options:

A $3.3 μm$
B $0.66 μm$
C $1 m$
D $1 μ m$

Solution:

1680 Upvotes Verified Answer

The correct answer is:

3.3 μm

\frac{λ m_{2}}{λ m_{1}} = \frac{T_{1}}{T_{2}} (

Wien's displacement law)

\frac{λ m_{2}}{4} = \frac{2000}{2400}, λ m_{2} = 4 \times \frac{20}{24} = 3.3 μm

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