Which of the following statement is correct - Vidyadip

MCQ

Which of the following statement is correct

A
A good absorber is a bad emitter
B
Every body absorbs and emits radiations at every temperature
C
The energy of radiations emitted from a black body is same for all wavelengths
✓
The law showing the relation of temperatures with the wavelength of maximum emission from an ideal black body is Plank’s law

✓

Answer

Correct option: D.

The law showing the relation of temperatures with the wavelength of maximum emission from an ideal black body is Plank’s law

d
(d) A good absorber is a good emitter hence option $(a)$ is wrong. Every body stops absorbing and emitting radiation at $0\,K$ hence option $(b)$ is wrong.

The energy of radiation emitted from a black body is not same for all wavelength hence option $(c)$ is wrong.

Plank’s law relates the wavelength ($\lambda$) and temperature $(T)$ according to the relation

${E_\lambda }{d_\lambda } = \frac{{8\pi \,hc}}{{{\lambda ^5}}}\frac{1}{{[{e^{hc/kT}} - 1]}}{d_\lambda }$. Hence option $(d)$ is correct.

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