Dual Nature of Radiation and Matter · Question 52

A radioactive nucleus of mass M emits a photon of frequency and the nucleus recoils. The recoil energy will be

1. Mc2 - h
2. h2 2/2Mc2
3. zero
4. h

When monochromatic radiation of intensity I falls on a metal surface, the number of photoelectrons and their maximum kinetic energy are N and T respectively. If the intensity of radiation is 2I, the number of emitted electrons and their maximum kinetic energy are respectively

1. N and 2T
2. 2N and T
3. 2N and 2T
4. N and T

The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the stopping potential is estimated to be (the energy of the electron in nth state En = - 13.6n2 eV)

1. 5.1 V
2. 12.1 V
3. 17.2 V
4. 7 V

A source S1 is producing 1015 photons per second of wavelength 5000 A. Another source S2 is producing 1.02 1015 photons per second of wavelength 5100 A. Then, (power of S2)/(power of S1) is equal to

1. 1.00
2. 1.02
3. 1.04
4. 0.98

The potential difference that must be applied to stop the fastest photoelectrons emitted by a nickel surface, having work function 5.01 eV, when ultraviolet light of 200 nm falls on it, must be

1. 2.4 V
2. -1.2 V
3. -2.4 V
4. 1.2 V

The number of photo electrons emitted for light of a frequency (higher than the threshold frequency 0) is proportional to

1. threshold frequency ( 0)
2. intensity of light
3. frequency of light ( )
4. - 0

The figure shows a plot of photo current versus anode potential for a photo sensitive surface for three different radiations. Which one of the following is a correct statement? [figure]

1. Curves (a) and (b) represent incident radiations of same frequency but of different intensities.
2. Curves (b) and (c) represent incident radiations of different frequencies and different intensities.
3. Curves (b) and (c) represent incident radiations of same frequency having same intensity.
4. Curves (a) and (b) represent incident radiations of different frequencies and different intensities.

Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per sec. on the average at a target irradiated by this beam is

1. 3 1016
2. 9 1015
3. 3 1019
4. 9 1017

The work function of a surface of a photosensitive material is 6.2 eV. The wavelength of the incident radiation for which the stopping potential is 5 V lies in the

1. infrared region
2. X-ray region
3. Ultraviolet region
4. Visible region

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 106 m s-1. The velocity of the particle is

1. 3 10-31 m s-1
2. 2.7 10-21 m s-1
3. 2.7 10-18 m s-1
4. 9 10-2 m s-1