Wien’s Displacement Law

Following graphs show the variation in the intensity of heat radiations by the black body and frequency at a fixed temperature. Choose the correct option.

Solar radiation emitted by sun corresponds to that emitted by the black body at a temperature of $6000 \mathrm{K}$. Maximum intensity is emitted at a wavelength of $4800$$\stackrel{\circ }{\mathrm{A}}$. If the sun was to cool down from $6000 \mathrm{K}$to $3000 \mathrm{K}$, then the peak intensity of emitted radiation would occur at a wavelength

The wavelength of maximum intensity for emitted radiation from a source is $11\times {10}^{-5} \mathrm{cm}$.  The temperature of this source is $n$ times the temperature of some other source for which the wavelength at maximum intensity is known to be $5.5\times {10}^{-5} \mathrm{cm}$. Find the value of $n$.

When the temperature of a black body increases by $0.1\%$, the wavelength corresponding to maximum emission changes by $0.13 \mathrm{\mu m}$. The initial wavelength corresponding to maximum emission is,

The power radiated by a black body is $P\mathit{.}$ The intensity of radiations is maximum for a wavelength $\lambda .$ If the temperature of the black body is changed so that the intensity of radiations is maximum for a wavelength $3\lambda /2,$ the power radiated by it now will be

A black body has maximum wavelength ${\lambda }_m$ at $2000 \mathrm{K}.$ Its corresponding wavelength at $3000 \mathrm{K}$ will be

A black body is at temperature $2880 \mathrm{K}$. The energy of radiation emitted by the body at wavelength $250 \mathrm{nm}$ is $U_1$, at wavelength $500 \mathrm{nm}$ is $U_2$ and that of $1000 \mathrm{nm}$ is $U_3$. Then the correct answer is $($Weins constant $\left.b=2.88\times {10}^6 \mathrm{nmK}\right)$

The maximum energy in thermal radiation from a source occurs at the wavelength $4000 \stackrel{\circ }{\mathrm{A}}.$ The effective temperature of the source is :-
(take $b=2.93\times {10}^{-3} \mathrm{mK}$)

If at temperature $T_1=1000 \mathrm{K},$ the wavelength corresponding to maximum radiation is $1.4\times {10}^{-6} \mathrm{m},$ then at what temperature that wavelength will be $2.8\times {10}^{-6} \mathrm{m}$

Solar constant for earth is $2 \mathrm{cal} {\min }^{-1} {\mathrm{cm}}^2$, if distance of mercury from sun is $0.4$ times than distance of earth from sun then solar constant for mercury will be?

What will be the ratio of temperatures of sun and moon if the wavelengths of their maximum emission radiations rates are $140 \mathrm{Å}$ and $4200 \mathrm{Å}$ respectively :-

A black body at a temperature of $1227{ }^{\mathrm{o}}\mathrm{C}$ emits radiations of maximum intensity at $5000 \mathrm{\AA }$. Find the wavelength at which the intensity of emitted radiation will be maximum, if the temperature of the body is increased by $1000{ }^{\mathrm{o}}\mathrm{C}$.

Solar radiation has maximum intensity at a wavelength of $480 \mathrm{nm}$ in the visible region. Figure out the surface temperature of the sun using this information. (Use Wien's constant $b=2.88\times {10}^{-3} \mathrm{m}\mathrm{ }\mathrm{K}$)

Wavelength of maximum intensity is ${\lambda }_m$ for a rectangular body at $2000 \mathrm{K}$. Find the corresponding wavelength for a temperature of $3000 \mathrm{K}$.

If ${\lambda }_{\mathrm{m}}$ denotes the wavelength at which a certain black body radiates maximum intensity for a temperature $T \mathrm{K}$. Then the correct relation will be

Which two quantities are related by Wien's displacement law?

Identify the correct  $v_m-T$ graph for an ideal black body. (Here, $v_m$ is the frequency of radiation having maximum intensity and $T$ is absolute temperature)

Find the intensity of the radiation of a star, if it is known that the wavelength of maximum radiation intensity emitted by the star is $289.8\mathrm{nm}$. Take Wien's constant as $\mathrm{b}=2898\mathrm{ }\mathrm{\mu mK}$ and Stefan's constant as $5.67\times {10}^{-8} {\mathrm{Wm}}^{-2}{\mathrm{K}}^{-4}$.

Identify the correct statement regarding light diverging from a point source.

The variation in energy of heat radiations by black body with frequency at same temperature is shown by the graph