Spectrum of Black Body Radiation in Terms of Wavelength

For a black body maintained at temperature, $T_0 \mathrm{K}$ the maximum radiation occurs at wavelength ${\lambda }_0$. If the temperature is raised to$\frac{3}{2}{T}_0 \mathrm{K}$, corresponding wavelength is ${\lambda }_1$. If, ${\lambda }_0-{\lambda }_1=3000 \mathrm{\AA }$ , then value of ${\lambda }_0$, is

For an object radiating heat at $300 \mathrm{K}$, the wavelength corresponding to maximum intensity is $\lambda$. If the temperature of body is increased by $300 \mathrm{K}$, the new wavelength corresponding to maximum intensity will be

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 electromagnetic waves that cause greenhouse effect are

heated perfect black body is expected to emit radiations

For a given plot what does the area under curve represent according to Maxwell-Boltzmann distribution?

The R.M.S speed of the molecules of an enclosed gas is $\mathrm{V}$. What will be the R.M.S  speed if the pressure is doubled, the temperature remaining the same?

Power spectrum describes distribution of ________ under frequency domain.

Energy spectral density defines-

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 Wien's displacement law express relation between-

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

State:

Wien's displacement law

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,