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Structure Of Atom

Question
CBSEENCH11005252

Electrons are emitted with zero velocity from a metal surface when it is exposed to radiation of wavelength 6800 Å. Calculate the threshold frequency (v0) and the work function (W0) of the metal.

Solution

Wavelength of radiation (λ) = 6800 Å
=  6800 X 10-10m
Now, threshold frequency straight v subscript 0 space equals space straight c over straight lambda
                                  space space space equals space fraction numerator 3 space cross times space 10 to the power of 8 ms to the power of negative 1 end exponent over denominator 6800 space cross times 10 to the power of negative 10 end exponent straight m end fraction
space space space equals 4.41 space cross times space 10 to the power of 14 straight s to the power of negative 1 end exponent
Also work function (W0) = hv0
= (6.626 x 10-34 Js) x (4.41 x 1014 s-1)
= 2.92 x 10-19 J