In a photoelectric experiment, a monochromatic light is incident on the emitter plate
, as shown in the figure. When switch
is closed and switch
is open, the photoelectrons strike the collector plate
with a maximum kinetic energy of
. If switch
is open and switch
is closed and the frequency of the incident light is doubled the photoelectrons strike the collector plate with a maximum kinetic energy of
. The threshold wavelength of the emitter plate is

Text Solution
Verified by ExpertsB
Say threshold wavelength of emitter plate 
Energy of photon in first case is
.
Case I:
When switch
is closed and switch
is open, So,

Case II:
When switch
is open and switch
is closed and frequency of incident light is doubled.
Then, 
From Eqs. (1) and (2), we get





Hence, the threshold wavelength of the emitter plate is 4133.3A.
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