If is the work function of photosensitive material in and light of wavelength of numerical value metre, is incident on it with energy above its threshold value at an instant then the maximum kinetic energy of the photo-electron ejected by it at that instant (Take -Plank's constant, -velocity of light in free space) is (in SI units):
- A
- B
- C
- D
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Correct answer: C
The energy of the incident light is given by:
$$E = h \nu = \frac{hc}{\lambda}$$
where $h$ is Planck's constant, $c$ is the speed of light, and $\lambda$ is the wavelength of the light. Substituting the given value of $\lambda$, we get:
$$E = \frac{hc}{hc/e} = e$$
The maximum kinetic energy of the photoelectron is given by:
$KE_{max} = E - \phi$
where $\phi$ is the work function. Substituting the values, we get:
$KE_{max} = e - \phi$
Therefore, the correct answer is Option C.
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