All electrons ejected from a surface by incident light of wavelength $200$ nm can be stopped before traveling 1m in the direction of a uniform electric field of $4 N / C$ . The work function of the surface is

4 e V

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6.2 e V

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2 e V

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2.2 e V

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Solution

The correct option is D $2.2 e V$
The electron ejected with maximum speed $v_{m a x}$ are stopped byelectric field $E = 4 N / C$ after travelling a distance $d = 1 m$ .

$∴ \frac{1}{2} m V_{m a x}^{2} = e E d = 4 e V$

The energy of incident photon $= \frac{1240}{200} = 6.2 e V$

From equation of photo electric effect

$\frac{1}{2} m v_{m a x}^{2} = h υ - ϕ_{0}$

$∴ ϕ_{0} = 6.2 - 4 = 2.2 e V$ .
So, the answer is option (D).

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All electrons ejected from a surface by incident light of wavelength 200 nm can be stopped before traveling 1m in the direction of a uniform electric field of 4N/C. The work function of the surface is

All electrons ejected from a surface by incident light of wavelength $200$ nm can be stopped before traveling 1m in the direction of a uniform electric field of $4 N / C$ . The work function of the surface is