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Q.

The work function for a metal is 4eV. To eject the photo electrons with zero velocity the wave length of the incident light should be

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a

$2700 A^{0}$

b

$1700 A^{0}$

c

$5900 A^{0}$

d

$3100 A^{0}$

answer is D.

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Detailed Solution

Zero velocity $\Rightarrow K E = 0$

$\frac{h c}{λ} = \frac{h c}{λ_{0}} \Rightarrow λ = λ_{0} = \frac{12400}{w} = \frac{12400}{4} = 3100 A^{0}$

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The work function for a metal is 4eV. To eject the photo electrons with zero velocity the wave length of the incident light should be