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Physics-

General

Easy

Question

Solar radiation emitted by sun resembles that emitted by a black body at a temperature of 6000 K. Maximum intensity in emitted at a wavelength of about 4800 $Å$ . If the sun were cooled down from 6000 K to 3000 K, then the peak intensity would occur at a wavelength of

4800 $Å$
9600 $Å$
2400 $Å$
19200 $Å$

The correct answer is: 9600 $Å$

Here, $T subscript 1 end subscript equals 6000 blank K comma blank lambda subscript 1 end subscript equals 4800 blank Å$
$T subscript 2 end subscript equals 3000 blank K comma blank lambda subscript 2 end subscript equals blank ?$
According to Wien’s law
$therefore blank fraction numerator lambda subscript 2 end subscript over denominator lambda subscript 1 end subscript end fraction equals fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction$
$lambda subscript 2 end subscript equals fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction blank cross times blank lambda subscript 1 end subscript equals fraction numerator 6000 over denominator 3000 end fraction cross times 4800 equals 9600 Å$

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