Dual Nature of Radiation and Matter

A photon and an electron (mass m) have the same energy E. The ratio ( photon/ electron) of their de Broglie wavelengths is: (c is the speed of light)

1. c 2mE
2. 1c E/2m
3. E/2m
4. c 2mE

The graph which shows the variation of ( 1 2 ) and its kinetic energy, E is (where is de Broglie wavelength of a free particle):

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

If c is the velocity of light in free space, the correct statements about photon among the following are: Choose the correct answer from the options given below:

1. A and B only
2. A, B, C and D only
3. A, C and D only
4. A, B, D and E only

An electron and an alpha particle are accelerated by the same potential difference. Let e and denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:

1. e >
2. e = 4
3. e =
4. e <

If is the work function of photosensitive material in eV and light of wavelength of numerical value = hce metre, is incident on it with energy above its threshold value at an instant then the maximum kinetic energy of the photo-electron ejected by it at that instant (Take h-Planck's constant, c-velocity of light in free space) is (in SI units):

1. e + 2
2. 2e -
3. e - e
4. e +

The work functions of Caesium (Cs), potassium (K) and sodium (Na) are 2.14 eV, 2.30 eV and 2.75 eV respectively. If incident electromagnetic radiation has an incident energy of 2.20 eV, which of these photosensitive surfaces may emit photoelectrons?

1. Both Na and K
2. K only
3. Na only
4. Cs only

The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of V volts is proportional to :

1. 1V
2. 1 V
3. V2
4. V

When two monochromatic lights of frequency, and 2 are incident on a photoelectric metal, their stopping potential becomes Vs2 and Vs respectively. The threshold frequency for this metal is

1. 2
2. 3
3. 23
4. 32

The graph which shows the variation of the de Broglie wavelength ( ) of a particle and its associated momentum (p) is

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

The light rays having photons of energy 4.2 eV are falling on a metal surface having a work function of 2.2 eV. The stopping potential of the surface is

1. 6.4 V
2. 2 eV
3. 2 V
4. 1.1 V