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Question 18

Given below are two statements:
Statement I: Stopping potential in photoelectric effect does not depend on the power of the light source.
Statement II: For a given metal, the maximum kinetic energy of the photoelectron depends on the wavelength of the incident light.
In the light of above statements, choose the most appropriate answer from the options given below.

In photoelectric effect,

Stopping potential is related to maximum kinetic energy by:

$$eV_0=K_{\max}$$

and

$$K_{\max}=h\nu-\phi$$

where
$$\nu$$ = frequency of incident light
$$\phi$$= work function of the metal.

Since stopping potential depends on $$⁡K_{\max}$$​, it depends on frequency (or wavelength), not on intensity/power of light.

Therefore, Statement I is correct.

Also,

$$K_{\max}=h\nu-\phi$$

and

$$\nu=\frac{c}{\lambda}$$

So maximum kinetic energy depends on wavelength of incident light.

Therefore, Statement II is also correct.

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