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Photoelectric Effect and WaveParticle Duality Physics - Photoelectric Effect and WaveParticle Duality

Rajasthan Board (RBSE) - STD 12 Science - Physics (Rajasthan - English Medium). 68 questions in this chapter.

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Photoelectric Effect and WaveParticle Duality question types

68 questions across 6 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

68
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6
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5
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Sample Questions

Photoelectric Effect and WaveParticle Duality questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
The work function of a metal is $hv_{0.}$ Light of frequency $v$ falls on this metal. The photoelectric effect will take place only if$:$
  • ✓
    $\text{v}\geq\text{v}_0$
  • B
    $\text{v}>2\text{v}_0$
  • C
    $\text{v}<\text{v}_0$
  • D
    $\text{v}<\frac{\text{v}_0}{2}$

Answer: A.

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Q 2M.C.Q (1 Marks)1 Mark
Light of wavelength $\lambda$ falls on a metal having work function $\frac{\text{h}_\text{c}}{\lambda_0}.$ Photoelectric effect will take place only if:
  1. $\lambda\geq\lambda_0$
  2. $\lambda\geq2\lambda_0$
  3. $\lambda\leq\lambda_0$
  4. $\lambda<\frac{\lambda_ 0}{2}.$
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Q 3M.C.Q (1 Marks)1 Mark
A proton and an electron are accelerated by the same potential difference. Let $\lambda_\text{e}$ and $\lambda_\text{p}$ denote the de Broglie wavelengths of the electron and the proton respectively.
  • A
    $\lambda_\text{e}=\lambda_\text{p}.$
  • B
    $\lambda_\text{e}<\lambda_\text{p}.$
  • ✓
    $\lambda _\text{e}>\lambda_\text{p}.$
  • D
    The relation between $\lambda_\text{e}$, and $\lambda_\text{p}$ depends on the accelerating potential difference.

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark
Photoelectric effect supports quantum nature of light because:
  1. There is a minimum frequency below which no photoelectrons are emitted.
  2. The maximum kinetic energy of photoelectrons depends only on the frequency of light and not on its intensity.
  3. Even when the metal surface is faintly illuminated the photoelectrons leave the surface immediately.
  4. Electric charge of the photoelectrons is quantized.
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Q 61 Marks Question1 Mark
Consider the situation described in the previous problem. Show that the force on the sphere due to the light falling on it is the same even if the sphere is not perfectly absorbing.
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Q 71 Marks Question1 Mark
In an experiment on photoelectric effect, a photon is incident on an electron from one direction and the photoelectron is emitted almost in the opposite direction. Does this violate conservation of momentu?
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Q 81 Marks Question1 Mark
The threshold wavelength of a metal is $\lambda_0.$ Light of wavelength slightly less $\tan \lambda_0.$ is incident on an insulated plate made of this metal. It is found that photoelectrons are emitted for some time and after that the emission stops. Explain.
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Q 91 Marks Question1 Mark
A sphere of radius $1.00\ cm$ is placed in the path of a parallel beam of light of large aperture. The intensity of the light is $0.5\ W/cm^{-2}.$ If the sphere completely absorbs the radiation falling on it, find the force exerted by the light beam on the sphere.
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Q 122 Marks Questions2 Marks
A parallel beam of monochromatic light of wavelength $663\ nm$ is incident on a totally reflecting plane mirror. The angle of incidence is $60^\circ$ and the number of photons striking the mirror per second is $1.0 \times 10^{19}.$ Calculate the force exerted by the light beam on the mirror.
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Q 132 Marks Questions2 Marks
An atom absorbs a photon of wavelength 500nm and emits another photon of wavelength 700nm. Find the net energy absorbed by the atom in the process.
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Q 142 Marks Questions2 Marks
A photographic film is coated with a silver bromide layer. When light fells on this film, silver bromide molecules dissociate end the film records the light there. A minimum of $0.6\ eV$ is needed to dissociate a silver bromide molecule. Find the maximum wavelength of light that can be recorded by the film.
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Q 152 Marks Questions2 Marks
Find the maximum kinetic energy of the photoelectrons ejected when light of wavelength 350nm is incident on a cesium surface. Work function of cesium = 1.9eV
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Q 163 Marks Question3 Marks
It is found that photosynthesis starts in certain plants when exposed to the sunlight but it does not start if the plant is exposed only to infrared light. Explain.
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Q 193 Marks Question3 Marks
In a photoelectric experiment, the collector plate is at 2.0V with respect to the emitter plate made of copper ($\phi$ - 4.5eV). The emitter is illuminated by a source of monochromatic light of wavelength 200 run. Find the minimum and maximum kinetic energy of the photoelectrons reaching the collector.
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Q 203 Marks Question3 Marks
A monochromatic light source of intensity $6mW$ emits $8 \times 10^{16}$ photons per second. This light ejects photoelectrons from a metal surface. The stopping potential for this setup is $2.0V.$ Calculate the work function of the metal.
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Q 214 Marks Questions4 Marks
A silver ball of radius $4.8\ cm$ is suspended by a thread in a vacuum chamber. Ultraviolet light of wavelength $200$ run is incident on the ball for some time during which a total light energy of $1.0 \times 10^{-7}J$ falls on the surface. Assuming that on the average one photon out of every ten thousand is able to eject a photoelectron, find the electric potential et the surface of the bell assuming zero potential at infinity. What is the potential at the centre of the bell?
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Q 235 Marks Questions5 Marks
In an experiment on photoelectric effect, the stopping potential is measured for monochromatic light beams corresponding to different wavelengths. The data collected are $11s$ follows:
wavelength $(nm)$ $350$ $400$ $450$ $500$ $550$
stopping potential$(V):$ $1.45$ $1.00$ $0.66$ $0.38$ $0.16$
Plot the stopping potential against inverse of wavelength $\big(\frac{1}{\lambda}\big) $ on a graph paper and find
  1. The Planck constant,
  2. The work function of the emitter and.
  3. The threshold wavelength.
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Q 255 Marks Questions5 Marks
A horizontal cesium plate ($\phi$ = l.9 eV) is moved vertically downward at a constant speed u in a room full of radiation of wavelength 250 run and above. What should be the minimum value of u so that the vertically upward component of velocity is nonpositive for each photoelectron?
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Q 265 Marks Questions5 Marks
A small piece of cesium metal $(\phi = 1 ·9 eV)$ is kept at a distance of $20\ cm$ from a large metal plate having a charge density of $1.0 \times 10^{-9}C/m^2$ on the surface facing the cesium piece. A monochromatic light of wavelength $400\ nm$ is incident on the cesium piece. Find the minimum and the maximum kinetic energy of the photoelectrons reaching the large metal plate. Neglect any change in electric field due to the small piece of cesium present.
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Q 275 Marks Questions5 Marks
Consider the situation of the previous problem. Consider the fastest electron emitted parallel to the large metal plate. Find the displacement of this electron parallel to its initial velocity before it strikes the large metal plate.
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