Wien's displacement law

Q. The Wien’s displacement law express relation between

1. Frequency and temperature
2. Temperature and amplitude
3. Wavelength and radiating power of black body
4. Wavelength corresponding to maximum intensity and temperature

Q. Wein's constant is $2892\times {10}^{-6}$ MKS unit and the value of ${\lambda }_m$ from moon is 14.46 microns. What is the surface temperature of moon

1. 100 K
2. 300 K
3. 400 K
4. 200 K

Q.

Experimental investigations show that the intensity of solar radiation is maximum for a wavelength $480nm$ in the visible region. Estimate the surface temperature of the sun. Given Wien's constant, $b=2.88\times {10}^{-3}mK$.

1. 5000 K

2. 6000 K

3. 8000 K

4. ${10}^{6}K$