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Question : 13
Total: 26
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 fromλ 1 to λ 2 . Derive the expressions for the threshold wavelength λ 0 and work function for the metal surface.
The maximum kinetic energy of the photoelectrons gets doubled when the wavelength of light incident on the surface changes from
Solution:
(i) Einstein's Photoelectric equation
(ii) Important features
(iii)Derivation of expressions forλ 0 and work function
h v = ϕ 0 + k max
orh v = h v 0 +
m v 2 max
Important features
(i)k max depends linearly on frequency v .
(ii) Existence of threshold frequency for the metal surface.
(Any other two correct features.)
h v = ϕ 0 + k max
=
+ k max ......(i)
=
+ 2 k max ......(ii)
From (i) and (ii)
−
=
= (
−
)
λ 0 =
Work function ϕ 0 =
=
(ii) Important features
(iii)Derivation of expressions for
or
Important features
(i)
(ii) Existence of threshold frequency for the metal surface.
(Any other two correct features.)
From (i) and (ii)
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