Home
Class 12
PHYSICS
X-rays fall on a photosensitive surface ...

X-rays fall on a photosensitive surface to cause photoelectric emission. Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength (`lambda`) of the electrons emitted to the energy (`E_(v)`) of the incident photons. Draw the nature of the graph for `lambda` as a function of `E_(v)`.

Text Solution

Verified by Experts

`E_(v)=phi_(0)+K_("max")`
As `phi_(0)=0`
`implies E_(v)=K_("max")`
`implies K_("max")=(p^(2))/(2m)=E_(v)`
`implies p=sqrt(2mE_(v))`
`:.` Wavelength `(lambda)` of emitted electrons ,
`lambda=(h)/(p)=(h)/(sqrt(2mE_(v)))`
Promotional Banner

Topper's Solved these Questions

  • DUAL NATURE OF RADIATION AND MATTER

    OSWAAL PUBLICATION|Exercise TOPIC-2 DE-BROGLIE RELATION (SHORT ANSWER TYPE QUESTIONS-II)|2 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    OSWAAL PUBLICATION|Exercise TOPIC-2 DE-BROGLIE RELATION (LONG ANSWER TYPE QUESTIONS)|1 Videos
  • DUAL NATURE OF RADIATION AND MATTER

    OSWAAL PUBLICATION|Exercise TOPIC-2 DE-BROGLIE RELATION (VERY SHORT ANSWER TYPE QUESTIONS)|8 Videos
  • CURRENT ELECTRICITY

    OSWAAL PUBLICATION|Exercise TOPIC-3 (POTENTIOMETER & APPLICATIONS) (NUMERICAL PROBLEMS)|2 Videos
  • ELECTRIC CHARGES & FIELDS

    OSWAAL PUBLICATION|Exercise (TOPIC -2)Numerical Problems|5 Videos

Similar Questions

Explore conceptually related problems

Two radiations containing photons of energy twice and five times the work function of a metal are incident successively on the metal surface. The ratio of the maximum velocities of the emitted electrons in the two cases will be

Photons of energy 4 eV are incident on a metal. Maximum velocity of photo electrons emitted is v . When energy of incident radiations is decreased by 50%, velocity is halved, Work function of the metal is

The K.E. of the most energetic electrons emitted from a metallic surface is doubled when the wavelength, lambda of the incident radiation is reduced from 400 nm to 310 nm. The work function of the metal is

Light of wavelength lambda = 400 nm is incident on a photosensitive metal whose work function is 2 eV. The maximum kinetic energy of photo electrons emitted will be