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Q.

A rectangular body has maximum wavelength $λ_{m}$ at $2000 K$ . Its corresponding wavelength at $3000 K$ will be

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a

$\frac{3}{2} λ_{m}$

b

$\frac{2}{3} λ_{m}$

c

$\frac{16}{81} λ_{m}$

d

$\frac{81}{16} λ_{m}$

answer is B.

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Detailed Solution

According to Wien's law, $λ_{m} \propto \frac{1}{T}$

When temperature becomes $\frac{3}{2}$ times $λ_{m}$ becomes $\frac{2}{3}$ times

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