In photoelectric effect, the stopping potential () v/s frequency (v) curve is plotted. (h is the Planck's constant and v is work function of metal) (A) v/s v is linear (B) The slove v/s v curve (C) h constant is related to the slope of v/s v line

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Solution

Q.
In photoelectric effect, the stopping potential ( $V_{0}$ ) v/s frequency ( $v$ ) curve is plotted.

(h is the Planck's constant and $ϕ_{0}$ is work function of metal)

(A) $V_{0}$ v/s $v$ is linear

(B) The slope of $V_{0}$ v/s $v$ curve = $\frac{ϕ_{0}}{h}$

(C) h constant is related to the slope of $V_{0}$ v/s $v$ line

(D) The value of electric charge of electron is not required to determine h using the $V_{0}$ v/s $v$ curve.

(E) The work function can be estimated without knowing the value of h.

Choose the correct answer from the options given below: [2025]

1 (A), (B) and (C) only

2 (C) and (D) only

3 (A), (C) and (E) only

4 (D) and (E) only

Ans.
(3)

$h v = ϕ + {KE}_{\max}$

${KE}_{\max} = {eV}_{0}$

$\Rightarrow V_{0} = (\frac{h}{e}) v - \frac{ϕ_{0}}{e}$

So slope is constant $= \frac{h}{e}$

and intercept is $- ve (\frac{ϕ}{e})$

$\Rightarrow$ Option (A) is correct, Option (B) is wrong.

$\Rightarrow$ Option (C) is correct, option (D) is wrong.

$\Rightarrow$ Option (E) is correct.

(A), (C) and (E) are correct.

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