Dual Nature of Radiation and Matter · Question 9

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

The threshold frequency of a photoelectric metal is 0. If light of frequency 4 0 is incident on this metal, then the maximum kinetic energy of emitted electrons will be :

1. 4h 0
2. h 0
3. 2h 0
4. 3h 0

The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600 nm, when it delivers the power of 3.3 10-3 watt will be : (h = 6.6 10-34 J s)

1. 1015
2. 1018
3. 1017
4. 1016

An electromagnetic wave of wavelength ' ' is incident on a photosensitive surface of negligible work function. If 'm' mass is of photoelectron emitted from the surface has de-Broglie wavelength d, then :

1. = ( 2hmc ) d2
2. = ( 2mhc ) d2
3. d = ( 2mch ) 2
4. = ( 2mch ) d2