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Solution - Einstein’s Equation - Particle Nature of Light

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Write its S.I. unit of (intensity of radiation)

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Write Einstein's photoelectric equation and mention which important features in photoelectric effect can be explained with the help of this equation.

The maximum kinetic energy of the photoelectrons gets doubled when the wavelength of light incident on the surface changes from λ1 to λ2. Derive the expressions for the threshold wavelength λ0 and work function for the metal surface.

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The photoelectric threshold wavelength of a metal is 230 nm. Determine the maximum kinetic energy in joule and in eV of the ejects electron for the metal surface when it is exposed to a radiation of wavelength 180 nm.

[Planck’s constant : h = 6.63 * 10-34 Js, Velocity of light : C = 3 * 108 m/s.]

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Find the wave number of a photon having energy of 2.072 eV

Given : Charge on electron = 1.6 x 10-19 C,

           Velocity of light in air = 3 x 108 m/s,

           Planck’s constant = 6.63 x 10-34 J-s.

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The momentum of a photon of de Broglie wavelength 5000Å is _______.

[Planck’s constant = 6.63 x10-34 J.s.]

(A) 1.326 x10-28 kg-m/s

(B) 7.54 x10-28 kg-m/s

(C) 1.326 x10-27 kg-m/s

(D) 7.54 x10-27 kg-m/s

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The energy of photon of wavelength X is_____ .

[h = Planck’s constant, c = speed of light in vacuum]

(a)hcλ

(b)hλ/c

(c)λ/hc

(d)hc/λ

 

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