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Question -

The work function of caesium metal is 2.14eV. When light of frequency 6 ×1014 Hz is incident on the metalsurface, photoemission of electrons occurs. What is the

(a) maximum kineticenergy of the emitted electrons,

(b) Stopping potential, and

(c) maximum speed of theemitted photoelectrons?



Answer -

Work function of caesium metal, 

Frequency of light, 

(a)The maximum kinetic energyis given by the photoelectric effect as:

Where,

h = Planck’s constant = 6.626 × 10−34 Js

Hence, the maximum kineticenergy of the emitted electrons is 0.345 eV.

(b)For stopping potential, we can write the equation forkinetic energy as:

Hence, the stoppingpotential of the material is 0.345 V.

(c)Maximum speed of theemitted photoelectrons = v

Hence,the relation for kinetic energy can be written as:

Where,

m = Mass of an electron = 9.1 × 10−31 kg

Hence,the maximum speed of the emitted photoelectrons is 332.3 km/s.


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