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 $n$.

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 $\left.b=2.88\times {10}^6 \mathrm{nmK}\right)$

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 $b=2.88\times {10}^{-3} \mathrm{m}\mathrm{ }\mathrm{K}$)

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

The ratio of temperatures of two stars is $3:2$. If the wavelength of maximum intensity of the first star is $4000 \stackrel{\circ }{\mathrm{A}}$, what is the corresponding wavelength of the second star?

If the power radiated by three discs $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ having radii $2 \mathrm{m}, 4 \mathrm{m}$ and $6 \mathrm{m}$ are ${\text{Q}}_{\text{A}}{\text{,\hspace{0.17em}\hspace{0.17em}Q}}_{\text{B}}$ and ${\text{Q}}_{\text{C}}$ respectively and are coated with carbon black on their outer surfaces. The wavelength corresponding to their maximum intensities are $300 \mathrm{nm}, 400 \mathrm{nm}$ and $500 \mathrm{nm}$ respectively.Then,
 

The formula${\lambda }_{m}T = 0.29 \mathrm{cm} \mathrm{K}$is used to obtain the characteristic temperature ranges for different parts of the electromagnetic spectrum. Find the value of temperature(in $\mathrm{K}$) for ${\lambda }_m=5\times {10}^{-5} \mathrm{cm}$.

A black body emits radiations of maximum intensity at $5000 \stackrel{\circ }{\mathrm{A}}$ when its temperature is $1227°\mathrm{C}$. If, its temperature is increased by $1000°\mathrm{C}$  then the maximum intensity of emitted radiation will be at:

The wavelength of maximum intensity of radiation emitted by a star is $289.8\mathrm{ }\mathrm{n}\mathrm{m}$. The radiation intensity of the star is
(Stefan's constant $=5.67\times {10}^{-8} \mathrm{W} {\mathrm{m}}^{-2} {\mathrm{K}}^{-4},$Wien's constant $=b=2898\mathrm{ }\mathrm{\mu }\mathrm{m}\mathrm{ }\mathrm{K}$) 

Experimental investigation shows that the intensity of solar radiation is maximum for a wavelength $480 \mathrm{nm}$ in the visible region. Estimate the surface temperature of sun. (Given Wien's constant $b=2.88\times {10}^{-3} \mathrm{m}\mathrm{ }\mathrm{K}$)

Generally the temperature of a distant star is estimated using

The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by

The black body spectrum of an object $Q_1$ is such that its radiant intensity (i.e., intensity per unit wavelength interval) is maximum at a wavelength of 100 nm. Another object $O_2$ has the maximum radiant intensity at 600 nm. The ratio of power emitted per unit area by source $O_1$ to that of source $O_2$ is

According to Wien's law

A black body is at a temperature of $5760 \mathrm{K}$. 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 at $1000 \mathrm{nm}$ is $U_3$ . Wien's constant, $b=2.88\times {10}^6 \mathrm{nmK}$. Which of the following is correct?

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.

The spectral energy distribution of the Sun (temperature$=6050 \mathrm{K}$) has a maximum at $4753 \mathrm{\AA }$. The temperature of a star for which this maximum is at $9506 \mathrm{\AA }$ is