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NEET 2011

Exam: NEET
Year: 2011
Subject: Physics
Chapter: Dual Nature of Matter

NEET 2011 · Physics · Dual Nature of Matter

Light of two different frequencies whose photons have energies 1 eV...

Light of two different frequencies whose photons have energies

1 \mathrm{eV}

and

2.5 \mathrm{eV}

respectively illuminate a metallic surface whose work function is

0.5 \mathrm{eV}

successively. Ratio of maximum speeds of emitted electrons will be

Options

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

Correct answer

A. $1: 2$

Step-by-step solution

Kinetic energy

\mathrm{KE}=\phi-\phi_

0 Here,

\mathrm{KE}_1=1-0.5=0.5 \mathrm{eV}

\begin{aligned} \mathrm{KE}_{2}=2.5-0.5=2 \mathrm{eV}\\ & \therefore \frac{\mathrm{KE}_1}{\mathrm{KE}_2}=\frac{0.5}{2}=\frac{1}{4}\\ \text{ or } \quad \frac{y_1^2}{y_2^2}=\frac{1}{4}\\ \text{ or } \quad \frac{y_1}{y_2}=\sqrt{\frac{1}{4}}=\frac{1}{2} \end{aligned}

$$

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