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JIPMER 2014

Exam: JIPMER
Year: 2014
Subject: Physics
Chapter: Dual Nature of Matter

JIPMER 2014 · Physics · Dual Nature of Matter

Relation between wavelength of photon and electron of same energy is

Relation between wavelength of photon and electron of same energy is

Options

A $\lambda_{p h}\gt\lambda_e$
B $\lambda_{p h} \lt \lambda_e$
C $\lambda_{p h}=\lambda_e$
D $\frac{\lambda_e}{\lambda_{p h}}=$ constant

Correct answer

A. $\lambda_{p h}\gt\lambda_e$

Step-by-step solution

\begin{aligned} & \text{ Wavelength } \lambda=\frac{h c}{p} \\ & \therefore \quad \lambda=\frac{h c}{\sqrt{2 m E}} \therefore \lambda \propto \frac{1}{\sqrt{m}} \\ & \end{aligned}

Mass of photon is less than that of electron.

\therefore

Wavelength of photon is greater than that of electron

\lambda_{p h}>\lambda_e

.

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