Energy of photon is inversely proportional to

Following figure shows spectrum of an ideal black body at four different temperatures. The number of correct statement/s from the following is _______.

A. T₄ > T₃ > T₂ > T₁
 B. The black body consists of particles performing simple harmonic motion.
 C. The peak of the spectrum shifts to shorter wavelength as temperature increases.
 D. $\frac{{\mathrm{T}}_1}{{\mathrm{\nu }}_1} = \frac{{\mathrm{T}}_2}{{\mathrm{\nu }}_2} = \frac{{\mathrm{T}}_3}{{\mathrm{\nu }}_3}$
 E. The given spectrum could be explained using quantisation of energy

The number of incorrect statement/s about the black body from the following is______

(A) Emit or absorb energy in the form of electromagnetic radiation.

(B) Frequency distribution of the emitted radiation depends on temperature.

(C) At a given temperature, intensity vs frequency curve passes through a maximum value.

(D) The maximum of the intensity vs frequency curve is at a higher frequency at higher temperature compared to that at lower temperature.

A $50$ watt bulb emits monochromatic red light of wavelength of $795 \mathrm{nm}$. The number of photons emitted per second by the bulb is $x\times {10}^{20}.$ The value of $x$ is _____ .

(Nearest integer)

$\text{ [Given : }\left.\mathrm{h}=6.63\times {10}^{-34}\mathrm{Js}\text{ and} \mathrm{c}=3.0\times {10}^8 {\mathrm{ms}}^{-1}\right]$