First slide

Photoelectric effect and study of photoelectric effect

Question

When a centimeter thick surface is illuminated with light of wavelength $λ$ , the stopping potential is V. When the same surface is illuminated by light of wavelength 2 $λ$ ,the
stopping potential is V/3. Threshold wavelength for the metallic surface is

Moderate

A

4 $λ$ /3
B

4 $λ$
C

6 $λ$
D

8 $λ$ /3

Solution

$\begin{array}{l} C a s e 1 : e V = h c (\frac{1}{λ} - \frac{1}{λ_{0}}) \\ C a s e 2 : \frac{e V}{3} = h c (\frac{1}{2 λ} - \frac{1}{λ_{0}}) \\ Dividing Eq. (i) and (ii), we get \\ \Rightarrow λ_{0} = 4 λ . \end{array}$

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