Question

If a certain metal was irradiated by using two different light radiations of frequency x and 2x the kinetic energies of the ejected electrons are y and 3y respectively the threshold frequency of the metal will be

Answer 1

Answer on Question #76933 - Chemistry - Physical Chemistry

Question:

If a certain metal was irradiated by using two different light radiations of frequency $x$ and $2x$ the kinetic energies of the ejected electrons are $y$ and $3y$ respectively the threshold frequency of the metal will be

Solution:

$$E_k = h_\mu - h_{\mu 0};$$ $$h_x - h_{\mu 0} = y;$$ $$h_{2x} - h_\mu = 3y;$$

$h_{\mu 0}$ will be same as it is work function and it is a property of a metal;

$$h_{(x - \mu 0)} h_{(2x - \mu)} = y3y;$$ $$3x - 3\mu_0 = 2x - \mu_0;$$ $$x = 2\mu_0;$$ $$\mu_0 = x/2.$$

Answer: $x/2$

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