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Physics-

General

Easy

Question

The plots for intensity $v e r s u s$ wavelength for three black bodies at temperature $T subscript 1 end subscript comma blank T subscript 2 end subscript comma blank T subscript 3 end subscript$ respectively are shown in figure. Their temperatures are such that

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

The correct answer is: $T subscript 1 end subscript greater than T subscript 3 end subscript greater than T subscript 2 end subscript$

According to Wien’s displacement law.
$lambda subscript m end subscript proportional to fraction numerator 1 over denominator T end fraction o r T blank proportional to fraction numerator 1 over denominator lambda subscript m end subscript end fraction$
From figure,
$open parentheses lambda subscript m end subscript close parentheses subscript 1 end subscript less than open parentheses lambda subscript m end subscript close parentheses subscript 3 end subscript less than open parentheses lambda subscript m end subscript close parentheses subscript 2 end subscript blank therefore T subscript 1 end subscript greater than T subscript 3 end subscript greater than T subscript 2 end subscript$

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