Maximum energy in thermal radiation from a hot source occurs at a wavelength of 11×10^{-5}, cm . Ac

English

Gujarati

Hindi

10-2.Transmission of Heat

normal

The maximum energy in the thermal radiation from a hot source occurs at a wavelength of $11\times10^{-5}\, cm$. According to Wien's law, the temperature of the source (on kelvin scale) will be n times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is $5.5\times10^{-5}\, cm$. The value of $n$ is

A

$2$

B

$4$

C

$0.5$

D

$1$

Solution

$\lambda_{1} \mathrm{T}_{1}=\lambda_{2} \mathrm{T}_{2}$

Given $\mathrm{T}_{1}=\mathrm{nT}_{2}$

$\lambda_{1} \mathrm{nT}_{2}=\lambda_{2} \mathrm{T}_{2}$

$\Rightarrow n=\frac{\lambda_{2}}{\lambda_{1}}=\frac{5.5 \times 10^{5}}{11 \times 10^{5}}=\frac{1}{2}$

Standard 11

Physics

Share

Similar Questions

The temperature of furnace is $200\,^oC$, in its spectrum the maximum intensity is obtained at about $400\,\mathop A\limits^o $, If the maximum intensity is at $200\,\mathop A\limits^o $. Calculate the temperature of the furnace in ${}^oC$. ……… $^oC$

normal

Liquid cools from $50^oC$ to $45^oC$ in $5$ minutes and from $5^oC$ to $41.5^oC$ in the next $5$ minutes. The temperature of the surrounding is……… $^oC$

normal

A solid cube and a solid sphere of the same material have equal surface area. Both are at the same temperature $120\ ^oC$ , then

normal

A spherical body of emissitivity $e = 0.6$ placed inside a perfect black body is maintained at temperature $T$, then the energy radiated per second will be

normal

Two identical conducting rods are first connected independently to two vessels, one containing water at $100^o\ C$ and the other containing ice at $0^o\ C$. In the second case, the rods are joined end to end and connected to the same vessels. Let $q_1$ and $q_2\ g/s$ be the rate of melting of ice in the two cases respectively. The ratio $q_2/q_1$ is

normal