Dual Nature of Matter

JEE Main level, single correct, medium

106 of 200

Question 106 of 200

In photoelectric effect, the stopping potential (V0)v/s\left(\mathrm{V}_0\right) \mathrm{v} / \mathrm{s} frequency (ν)(\nu) curve is plotted.
( h is the Planck's constant and
ϕ0\phi_0 is work function of metal )
(A)
V0v/sν\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu is linear.
(B) The slope of
V0v/sν\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu curve =ϕ0 h=\frac{\phi_0}{\mathrm{~h}}
(C) h constant is related to the slope of
V0v/sν\mathrm{V}_0 \mathrm{v} / \mathrm{s} \nu line.
(D) The value of electric charge of electron is not required to determine
hh using the V0v/sνV_0 \mathrm{v} / \mathrm{s} \nu curve.
(E) The work function can be estimated without knowing the value of
hh.

Choose the correct answer from the options given below :

Show answer and solution

Answer: (B) (A), (C) and (E) only

$\begin{aligned}
& \mathrm{hv}=\phi+\mathrm{KE}_{\max } \\

& \mathrm{KE}_{\max }=\mathrm{eV}_0 \\

& \mathrm{~V}_0=\frac{\mathrm{hv}-\phi}{\mathrm{e}}

\end{aligned}$

(A)
V0v/sV\mathrm{V}_0 \mathrm{v} / \mathrm{s} \mathrm{V} is linear correct
(B) Slope

v0=(he)v−ϕe Wrong \mathrm{v}_0=\left(\frac{\mathrm{h}}{\mathrm{e}}\right) \mathrm{v}-\frac{\phi}{\mathrm{e}} \text { Wrong }

Slope
he\frac{h}{e}
(C) Correct

(D) Incorrect

(E) Correct

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