Question 379: 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

Choose the correct answer: