Wien's Displacement Law

A heated body emits radiation which has maximum intensity at frequency $v_{\mathrm{m}}.$ If the temperature of the body is doubled:

The solar constant on the surface of the earth is $S$. What will be its value on the surface of another planet which is about $5.3 \mathrm{AU}$ away from sun?

The maximum energy in thermal radiation from a source occurs at the wavelength $4000 \stackrel{0}{\mathrm{A}}$. The effective temperature of the source is

Three graphs marked as $1, 2, 3$ representing the variation of maximum emissive power and wavelength of radiation of the sun, a welding arc and a tungsten filament. Which of the following combination is correct?

The plots of intensity v/s wavelength for three black bodies at temperatures $T_1, T_2$ and $T_3$ respectively are as shown. Their temperatures are such that-

Three separate segments of equal area $A_1, A_2$ and $A_3$ are shown in the energy distribution curve of blackbody radiation. If $n_1, n_2$and $n_3$ are a number of photons emitted per unit time corresponding to each area segment respectively then: 

The power radiated by a black body is $P$, and it radiates maximum energy around the wavelength ${\lambda }_0$. If the temperature of the black body is now changed, so that, it radiates maximum energy around a wavelength $\frac{3{\lambda }_0}{4}$, the power radiated by it will increase by a factor of