If V be the accelerating voltage, then the maximum frequency of continuous x-rays is given by

  •   ehV  

  •   hVe  

  •   eVh  

  •  heV

The maximum kinetic energy of photoelectron emitted from the surface of work function f due to incidence of light of frequency n is E. If the frequency of incident light is doubled, then maximum kinetic of emitted photon will be

  •   2E

  •   2E - f

  •   2E + f

  •   2E + 2f

The de-Broglie wavelength associated with an electron accelerated through a voltage of 900 V is:

  •   0.31 Ao  

  •   0.41 Ao 

  •   0.5 Ao  

  •   0.16 A0

The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (Kelvin) and mass m, is 

  • hmkT

  • h3mkT

  • 2h3mkT 

  • 2hmkT

Electrons of mass m with de-Broglie wavelength λ fall on the target in an X-ray tube. The cut off wavelength λ0 of the emitted X-ray is -

  • λ0=2mcλ2h         

  • λ0=2hmc

  • λ0=2m2c2λ3h2       

  • λ0=λ

Photons with energy 5 eV are incident on a cathode C in a photoelectric cell. The maximum energy of emitted photoelectrons is 2 eV. When photons of energy 6 eV are incident on C, no photoelectron will reach the anode A, if the stopping potential of A relative to C is

  • +3 V

  • +4 V

  • - 1V

  • -3 V

When a metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is V4 .The threshold wavelength for metallic surface is:

  • () 5λ               

  • ()52λ

  • () 3λ               

  • () 4λ

An electron of mass m and a photon have the same energy E. Find the ratio of de-Broglie wavelength associated with the electron to that associated with the photon. (c is the velocity of light)
1. E2m1/22. c2mE1/23. 1c2mE1/24. 1cE2m1/2
 

  • 1
  • 2
  • 3
  • 4

A radiation of energy 'E' falls normally on a perfectly reflecting surface. The momentum transferred to the surface is (c=velocity of light)

  • E/c
  • 2E/c
  • 2E/c2
  • E/c2

A certain metallic surface is illuminated with monochromatic light of wavelength λ. The stopping potential for photoelectric current for this light is 3Vo. If the same surface is illuminated with light of wavelength 2λ. the stopping potential is Vo. The threshold wavelength for this surface for the photoelectric effect is:

  • λ/4
  • λ/6

Which of the following figures represents the variation of the particle momentum and the associated de-Broglie wavelength?

  •  
  •  

  •  

  •  

A photoelectric surface is illuminated successively by monochromatic light of wavelength  λ and λ/2.
If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function of the surface of the materiall is (h=Planck’s constant, c=speed of light)

  • hc/2λ
  • hc/λ
  • 2hc/λ
  • hc/3λ

Light of wavelength 500 nm is incident on a metal with work function 2.28 eV. The de-Broglie wavelength of the emitted electron is

  • <2.8x10-10m

  • <2.8x10-9m

  • \(\geqslant \)2.8x10-9m

  • <2.8x10-12m   

Light with an energy flux of 25 x 104 Wm-2 falls on a perfectly reflecting surface at normal incidence. If the surface area is 15cm2 the average force exerted on the surface is

  • (1)25x10-6N
  • (2)5x10-6N

  • (3)1.2x10-6N

  • (4)3.0x10-6N

When the energy of the incident radiation is increased by 20%, the kinetic energy of the photoelectrons emitted from a metal surface increased from 0.5 eV to 0.8 eV. The work function of the metal is:

  • 0.65eV
  • 1.0eV
  • 1.3eV
  • 1.5eV

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is

  • 25
  • 75
  • 60
  • 50

The wavelength λe of an electron and λp of a photon of same energy E related by:

  • λpλe2
  • λpλe 
  • λpλe
  • λp1λe

A 200W sodium street lamp emits yellow light of wavelength 0.6 μm. Assuming it to be 25% efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is 

  • (1) 1.5×1020                               

  • (2) 6×1018

  • (3) 62×1020                                 

  • (4) 3×1019

Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V.The threshold frequency of the material is:

  • 4×1015Hz                               

  • 5×1015Hz

  • 1.6×1015Hz                           

  • 2.5×1015Hz

An αparticle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m2.The de-Broglie wavelength associated with the particle will be 

  • 1 A0                                                   

  • 0.1 A0

  • 10 A0                                                 

  • 0.01 A0

If the momentum of an electron is changed by p, then the de-Broglie wavelength associated with it changes by 0.5%. The initial momentum of the electron will be

  • 200p

  • 400p

  • P200

  • 100p

In the Davisson and Germer experiment, the velocity of electrons emitted from the electron gun can be increased by

  • increasing the filament current

  • decreasing the filament current

  • decreasing the potential difference between the anode and filament

  • increasing the potential difference  between the anode and filament

A radioactive nucleus of mass M emits a photon

of frequency ν and the nucleus recoils. The recoil

energy will be:

  •  h2ν2/2 Mc2

  • zero

  • hν

  •  Mc2-

Photoelectric emission occurs only when the incident light has more than a certain minimum 

  • wavelength

  • intensity

  • frequency

  • power

The threshold frequency for a photo-sensitive metal is 3.3×1014 Hz. If the light of frequency 8.2×1014 Hz is incident on this metal, the cut-off voltage for the photo-electric emission is nearly:

  • 2 V                                       

  • 3 V

  • 5 V                                         

  • 1 V

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 200nm falls on it, must be:

  • 2.4 V

  •  -1.2 V

  •  -2.4 V

  • 1.2 V

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:

  •  N and 2T

  • 2N and T

  • 2N and 2T

  •  N and T

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

  • Curves a and b represent incident radiations of different frequencies and different intensities

  • Curves a and b represent incident radiations of same frequency but of different intensities 

  • Curves b and c represent incident radiations of different frequencies and different intensities

  • Curves b and c represent incident radiations of same frequency having same intensity 

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

(mass of electrons =9.1×10-31kg)

  • 2.7×10-18 ms-1

  • 9×10-2 ms-1

  • 3×10-31 ms-1

  • 2.7×10-21 ms-1

An electron mass m with an initial velocity v=v0i^ v0>0 is in an electric field E=-E0 i^E0=constant > 0. It's de Broglie wavelength at the time t is given by:

  •  λ01+eE0mtv0

  •  λ01+eE0tmv0

  •  λ0

  • λ0t.

0:0:1


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