The plots of intensity versus wavelength for three black bodies at temperatures T1,T2 and T3respectively are as shown. Their temperatures are such that

Question

The plots of intensity versus wavelength for three black bodies at temperatures T1,T2 and T3respectively are as shown. Their temperatures are such that (A) T1 > T2 > T3 (B) T1 > T3 > T2 (C) T2 > T3 > T1 (D) T3 > T2 > T1

Tardigrade Admin · Accepted Answer

Wien's displacement law for a perfectly black body is

λ_{m} T =

constant = Wien's constant b
Here,

λ_{m}

is the minimum wavelength corresponding to maximum intensity I.

or λ_{m} = \frac{T}{/}

From the figure

(λ_{m})_{1} < (λ_{m})_{3} < (λ)_{2}

Therefore

T_{1} > T_{3} > T_{2}

Q. The plots of intensity versus wavelength for three black bodies at temperatures $T_{1}, T_{2}$ and $T_{3}$ respectively are as shown. Their temperatures are such that

$T_{1} > T_{2} > T_{3}$

$T_{1} > T_{3} > T_{2}$

$T_{2} > T_{3} > T_{1}$

$T_{3} > T_{2} > T_{1}$

Wien's displacement law for a perfectly black body is
$λ_{m} T =$ constant = Wien's constant b
Here, $λ_{m}$ is the minimum wavelength corresponding to maximum intensity I.
$or λ_{m} = \frac{T}{/}$
From the figure $(λ_{m})_{1} < (λ_{m})_{3} < (λ)_{2}$
Therefore $T_{1} > T_{3} > T_{2}$

Q. The plots of intensity versus wavelength for three black bodies at temperatures T1​,T2​ and T3​respectively are as shown. Their temperatures are such that

T1​>T2​>T3​

T1​>T3​>T2​

T2​>T3​>T1​

T3​>T2​>T1​