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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
Given the ground state energy E0 = - 13.6 eV and Bohr radius a0 = 0.53 Å. Find out how the de Broglie wavelength associated with the electron orbiting in the ground state would change when it jumps into the first excited state.
Concept: Energy Levels
State Bohr’s postulate of hydrogen atom which successfully explains the emission lines in the spectrum of hydrogen atom. Use Rydberg formula to determine the wavelength of Hα line. [Given: Rydberg constant R = 1.03 × 107 m−1]
Concept: Bohr’s Model for Hydrogen Atom
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.
Concept: Energy Levels
The ground state energy of a hydrogen atom is −13.6 eV. What are the kinetic and potential energies of the electron in this state?
Concept: Energy Levels
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?
Concept: The Line Spectra of the Hydrogen Atom
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the kinetic energy of the electron in this state?
Concept: Energy Levels
