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JEE Main 20246 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 6 April
Shift: Evening Shift
Subject: Physics
Chapter: Dual Nature of Matter

JEE Main 2024 · 6 April · Evening Shift · Physics · Dual Nature of Matter

When UV light of wavelength 300 ~nm is incident on the metal...

When UV light of wavelength

300 \mathrm{~nm}

is incident on the metal surface having work function

2.13 \mathrm{eV}

, electron emission takes place. The stopping potential is: (Given hc

=1240 \mathrm{eV} \mathrm{nm}

)

Options

A $1.5 \mathrm{~V}$
B $4.1 \mathrm{~V}$
C $2 \mathrm{~V}$
D $4 \mathrm{~V}$

Correct answer

C. $2 \mathrm{~V}$

Step-by-step solution

\begin{aligned} & \frac{\mathrm{hc}}{\lambda}-\phi=\mathrm{e} . \mathrm{V}_{\mathrm{s}} \\ & \Rightarrow \frac{1240}{300} \mathrm{eV}-2.13 \mathrm{eV}=\mathrm{eVs} \\ & \Rightarrow 4.13 \mathrm{eV}-2.13 \mathrm{eV}=\mathrm{eVs} . \\ & \Rightarrow \text{ So, } \quad \mathrm{V}_{\mathrm{s}}=2 \mathrm{volt}\end{aligned}

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