Electromagnetic radiations of frequency $\nu$ consist of a stream of particles called photons. Which of the following statements is / are true about photons:

  • A
    As the frequency increases,the number of photons in the beam increases.
  • B
    As the intensity of light increases,the number of photons in the beam increases.
  • C
    The number of photons in the beam is independent of frequency.
  • D
    Both $(b)$ and $(c)$

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If $p$ is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $\lambda$,then for $1.5 \ p$ momentum of the photoelectron,the wavelength of the light should be: (Assume kinetic energy of ejected photoelectron to be very high in comparison to work function)

Explain the reason for the formation of a spectrum.

Assertion : All photons possess the same amount of energy.
Reason : Energy of photon does not depend upon wavelength of light used.

Fill in the blanks:
$(i)$ If the orbits around the nucleus contract,the electron will spiral into the nucleus in $....$ seconds.
$(ii)$ Waves used in radio broadcasting have a frequency of $....$ $Hz$.
$(iii)$ The $SI$ unit of frequency is $....$.
$(iv)$ The number of waves present in unit length is called $....$.

Find the wavelength of radiation having frequency $4 \times 10^{11} \ kHz$.

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