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The graph shows the variation of photocurrent for a photosensitive metal
- What does X and A on the horizontal axis represent?
- Draw this graph for three different values of frequencies of incident radiation ʋ1, ʋ2 and ʋ3 (ʋ3 > ʋ2 > ʋ1) for the same intensity.
- Draw this graph for three different values of intensities of incident radiation I1, I2 and I3 (I3 > I2 > I1) having the same frequency.
Concept: Experimental Study of Photoelectric Effect
(i) A ray of light incident on face AB of an equilateral glass prism, shows minimum deviation of 30°. Calculate the speed of light through the prism.

(ii) Find the angle of incidence at face AB so that the emergent ray grazes along the face AC.
Concept: Einstein’s Equation - Particle Nature of Light
An alpha particle is accelerated through a potential difference of 100 V. Calculate:
- The speed acquired by the alpha particle, and
- The de-Broglie wavelength is associated with it.
(Take mass of alpha particle = 6.4 × 10−27 kg)
Concept: Wave Nature of Matter
Give an example each of a metal from which photoelectric emission takes place when irradiated by
- UV light
- visible light.
Concept: Electron Emission
The work function of a metal is 4.50 eV. Find the frequency of light to be used to eject electrons from the metal surface with a maximum kinetic energy of 6.06 × 10−19 J.
Concept: de-Broglie Relation
- Calculate the frequency of a photon of energy 6.5 × 10−19 J.
- Can this photon cause the emission of an electron from the surface of Cs of work function 2.14 eV? If yes, what will be the maximum kinetic energy of the photoelectron?
Concept: Einstein’s Equation - Particle Nature of Light
The work function of a metal is 2.31 eV. Photoelectric emission occurs when the light of frequency 6.4 × 1014 Hz is incident on the metal surface. Calculate
- the energy of the incident radiation,
- the maximum kinetic energy of the emitted electron and
- the stopping potential of the surface.
Concept: Electron Emission
A photon of wavelength 663 nm is incident on a metal surface. The work function of the metal is 1.50 eV. The maximum kinetic energy of the emitted photoelectrons is ______.
Concept: Einstein’s Photoelectric Equation: Energy Quantum of Radiation
The energy of a photon of wavelength 663 nm is ______.
Concept: Particle Nature of Light: The Photon
The figure shows a plot of stopping potential (V0) versus `1/lambda`, where λ is the wavelength of the radiation causing photoelectric emission from a surface. The slope of the line is equal to ______.

Concept: Experimental Study of Photoelectric Effect
An increase in the intensity of the radiation causing photo-electric emission from a surface does not affect the maximum K.E. of the photoelectrons. Explain.
Concept: Photoelectric Effect and Wave Theory of Light
The photon emitted during the de-excitation from the first excited level to the ground state of a hydrogen atom is used to irradiate a photocathode in which the stopping potential is 5 V. Calculate the work function of the cathode used.
Concept: Einstein’s Photoelectric Equation: Energy Quantum of Radiation
E, c and `v` represent the energy, velocity and frequency of a photon. Which of the following represents its wavelength?
Concept: Wave Nature of Matter
Plot a graph showing the variation of photoelectric current, as a function of anode potential for two light beams having the same frequency but different intensities I1 and I2 (I1 > I2). Mention its important features.
Concept: Experimental Study of Photoelectric Effect
A metallic plate exposed to white light emits electrons. For which of the following colours of light, the stopping potential will be maximum?
Concept: Experimental Study of Photoelectric Effect
- Assertion (A): For the radiation of a frequency greater than the threshold frequency, the photoelectric current is proportional to the intensity of the radiation.
- Reason (R): Greater the number of energy quanta available, the greater the number of electrons absorbing the energy quanta and the greater the number of electrons coming out of the metal.
Concept: Experimental Study of Photoelectric Effect
Calculate the de-Broglie wavelength of the electron orbitting in the n = 2 state of hydrogen atom.
Concept: Heisenberg and De Broglie Hypothesis
Define ionization energy.
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
Calculate the shortest wavelength of the spectral lines emitted in Balmer series.
[Given Rydberg constant, R = 107 m–1]
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
When is Hα line in the emission spectrum of hydrogen atom obtained? Calculate the frequency of the photon emitted during this transition.
Concept: Hydrogen Spectrum
