The frequency and the intensity of incident beam of light falling on the surface of a photoelectric material is increased by a factor of two. This will

Question

The frequency and the intensity of incident beam of light falling on the surface of a photoelectric material is increased by a factor of two. This will, increase the maximum kinetic energy of the ejected photoelectrons by a factor of more than two and would increase the photoelectric current by a factor of two., increase the maximum kinetic energy of the photo electron and would increase the photoelectric current both by a factor of two., increase the maximum kinetic energy of the photoelectron by a factor of two and will have no effect on the magnitude of the photoelectric current produced., not produce any effect on the kinetic energy of the emitted photoelectrons but will increase the photoelectric current by a factor of two.

MARKS App · Accepted Answer

Using Einstein's photoelectric equations, h v = ϕ + e V s e V s = h v - ϕ . . . . ( i ) Thus, when the frequency of incident light radiation (photons) v increases to 2 v , the stopping potential V s changes to V s e V s ' = h ( 2 v ) - ϕ . . . . ii On dividing Eq. (ii) by Eq. (ii), we get V s ' V s = 2 h v - ϕ h v - ϕ = 2 h v - 2 ϕ + ϕ h v - ϕ = 2 ( h v - ϕ ) + ϕ h v - ϕ = 2 + ϕ h v - ϕ ∴ V ' s V s > 2 ⇒ V s ' > 2 V s

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