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NEET 2012

Exam: NEET
Year: 2012
Subject: Physics
Chapter: Dual Nature of Matter

NEET 2012 · Physics · Dual Nature of Matter

Two radiations of photon energies 1 eV and 2.5 eV , successively...

Two radiations of photon energies

1 \mathrm{eV}

and

2.5 \mathrm{eV}

, successively illuminate a photosensitive metallic surface of work function

0.5 \mathrm{eV}

. The ratio of the maximum speeds of the emitted electrons is

Options

A $1: 4$
B $1: 2$
C $1: 1$
D $1: 5$

Correct answer

B. $1: 2$

Step-by-step solution

We have

\frac{1}{2}

m v_{\max }^2=E-\phi Here case (i)

\begin{gathered}\frac{1}{2}m v_{1 \max }^2=(1-0.5) \mathrm{eV}\\ \frac{1}{2}m v_{2 \max }^2=(2.5-0.5) \mathrm{eV} \end{gathered}

Hence,

\quad \frac{v_{1 \max }^2}{v_{2 \max }^2}=\frac{1}{4}\frac{v_{1 \max }}{v_{2 \max }}=\frac{1}{2}

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