English

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 ______. - Physics

Advertisements
Advertisements

Question

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 ______.

Options

  • 3.0 × 10-20 J

  • 6.0 × 10-20 J

  • 4.5 × 10-20 J

  • 9.0 × 10-20 J

MCQ
Fill in the Blanks
Advertisements

Solution

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 6.0 × 10-20 J.

Explanation:

Given: λ = 663 nm, Φ0 = 1.5 eV

To Find: Max kinetic energy

We know that K.E. = `hf - phi_0`

K.E. = `(hc)/lambda - phi_0`

K.E. = `((6.62 xx 10^-34 xx 3 xx 10^8))/((663 xx 10^-9)) - 1.5 xx 1.6 xx 10^-19`

K.E. = `6 xx 10^-20` J

shaalaa.com
Einstein’s Photoelectric Equation: Energy Quantum of Radiation
  Is there an error in this question or solution?
2022-2023 (March) Outside Delhi Set 2

RELATED QUESTIONS

In an experiment on the photoelectric effect, the slope of the cut-off voltage versus the frequency of incident light is found to be 4.12 × 10−15 Vs. Calculate the value of Planck’s constant.


The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?


Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on the emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which the emitter is made.


point out any two characteristic properties of photons on which Einstein’s photoelectric equation is based ?


Define the terms (i) ‘cut-off voltage’ and (ii) ‘threshold frequency’ in relation to the phenomenon of photoelectric effect.

Using Einstein’s photoelectric equation shows how the cut-off voltage and threshold frequency for a given photosensitive material can be determined with the help of a suitable plot/graph.


Is p − E/c valid for electrons?


The electric field at a point associated with a light wave is `E = (100  "Vm"^-1) sin [(3.0 xx 10^15 "s"^-1)t] sin [(6.0 xx 10^15 "s"^-1)t]`.If this light falls on a metal surface with a work function of 2.0 eV, what will be the maximum kinetic energy of the photoelectrons?

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)


A monochromatic light source of intensity 5 mW emits 8 × 1015 photons per second. This light ejects photoelectrons from a metal surface. The stopping potential for this setup is 2.0 V. Calculate the work function of the metal.

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)


Consider the situation of the previous problem. Consider the faster 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.

(Use h = 6.63 × 10-34J-s = 4.14 × 10-15 eV-s, c = 3 × 108 m/s and me = 9.1 × 10-31kg)


Use Einstein’s photoelectric equation to show how from this graph, 
(i) Threshold frequency, and (ii) Planck’s constant can be determined.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×