Question 401: Properties of Matter

Question

A black body has maximum wavelength $\lambda $
m
at 2000 K. Its corresponding wavelength at 3000 K will be

Accepted Answer

According
to Wein's displacement law,
${\lambda _m}T$ = 2.88 ÃÂ 10
Ã¢ÂÂ3
When T = 2000 K,
${\lambda _m}$(2000) = 2.88 ÃÂ 10
Ã¢ÂÂ3
....(1)
When T = 3000 K,
$\lambda _m^{'}$ (3000) = 2.88 ÃÂ 10
Ã¢ÂÂ3
....(2)
Dividing (1) by (2),
${2 \over 3}{{{\lambda _m}} \over {\lambda _m^{'}}} = 1$
$ \Rightarrow {{{\lambda _m}} \over {\lambda _m^{'}}} = {3 \over 2}$
$ \Rightarrow \lambda _m^{'} = {2 \over 3}{\lambda _m}$

Answer

${3 \over 2}{\lambda _m}$

Answer

${2 \over 3}{\lambda _m}$

Answer

${{16} \over {81}}{\lambda _m}$

Answer

${{81} \over {16}}{\lambda _m}$

Properties of Matter

A black body has maximum wavelength \lambda m at 2000 K. Its corresponding wavelength at 3000 K will be

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