Dual Nature of Radiation and Matter

When photons of energy h fall on an aluminium plate (of work function E0), photoelectrons of maximum kinetic energy K are ejected. If the frequency of radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be

1. K + h
2. K + E0
3. 2K
4. K.

In a discharge tube ionization of enclosed gas is produced due to collisions between

1. neutral gas atoms/molecules
2. positive ions and neutral atoms/molecules
3. negative electrons and neutral atoms/molecules
4. photons and neutral atoms/molecules.

The momentum of a photon of energy 1 MeV in kg m/s will be

1. 5 10-22
2. 0.33 106
3. 7 10-24
4. 10-22

The work functions for metals A, B and C are respectively 1.92 eV, 2.0 eV and 5 eV. According to Einstein's equation the metals which will emit photoelectrons for a radiation of wavelength 4100 A is/are

1. A only
2. A and B only
3. all the three metals
4. none

A photosensitive metallic surface has work function, h 0. If photons of energy 2h 0 fall on this surface, the electrons come out with a maximum velocity of 4 106 m/s. When the photon energy is increased to 5h 0, then maximum velocity of photoelectrons will be

1. 2 107 m/s
2. 2 106 m/s
3. 8 106 m/s
4. 8 105 m/s

According to Einstein's photoelectric equation, the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is

1. [figure]
2. [figure]
3. [figure]
4. [figure]

A photoelectric cell is illuminated by a point source of light 1 m away. When the source is shifted to 2 m then

1. each emitted electron carries one quarter of the initial energy
2. number of electrons emitted is half the initial number
3. each emitted electron carries half the initial energy
4. number of electrons emitted is a quarter of the initial number

J.J. Thomson's cathode-ray tube experiment demonstrated that

1. cathode rays are streams of negatively charged ions
2. all the mass of an atom is essentially in the nucleus
3. the e/m of electrons is much greater than the e/m of protons
4. the e/m ratio of the cathode-ray particles changes when a different gas is placed in the discharge tube

The value of Planck's constant is

1. 6.63 10-34 J/sec.
2. 6.63 10-34 kg-m2/sec2
3. 6.63 10-34 kg-m2
4. 6.63 10-34 J-sec.

If particles are moving with same velocity, then which has maximum de Broglie wavelength?

1. proton
2. -particle
3. neutron
4. -particle