An electron and an alpha particle are accelerated by the same potential difference. Let λ_ and λ_a denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:

Correct answer: A. λ_e λ_α de-Broglie wavelength is given by λ=(h)/(p)= h 2 m q V For same potential difference λ 1 m q (λ_α)/(λ_e)= (m_e q_e)/(m_α q_α) m_α m_e λ_e λ_α

NEET 2024

Exam: NEET
Year: 2024
Subject: Physics
Chapter: Dual Nature of Matter

NEET 2024 · Physics · Dual Nature of Matter

An electron and an alpha particle are accelerated by the same...

An electron and an alpha particle are accelerated by the same potential difference. Let

\lambda_{\varepsilon}

and

\lambda_a

denote the de-Broglie wavelengths of the electron and the alpha particle, respectively, then:

Options

A $\lambda_e\gt\lambda_\alpha$
B $\lambda_e=4 \lambda_\alpha$
C $\lambda_e=\lambda \alpha$
D $\lambda_e \lt \lambda_a$

Correct answer

A. $\lambda_e\gt\lambda_\alpha$

Step-by-step solution

de-Broglie wavelength is given by

\lambda=\frac{h}{p}=\frac{h}{\sqrt{2 m q V}}

For same potential difference

\lambda \propto \frac{1}{\sqrt{m q}}

\frac{\lambda_\alpha}{\lambda_e}=\sqrt{\frac{m_e q_e}{m_\alpha q_\alpha}}

\because m_\alpha \gg m_e

\lambda_e\gt\lambda_\alpha

Practice Dual Nature of Matter on Quantrex Academy →

More from Dual Nature of Matter

An electron and positron are accelerated from rest to the same kinetic energy. The ratio… MHT CET Medical 2026 An electron of mass m and charge e initially at rest gets accelerated by a constant… MHT CET Medical 2026 The wavelength λ_e of an electron and λ_P of a photon of same energy E are related as MHT CET Medical 2026 A light of wavelength λ(λ < λ_0) falls on a metal surface. The momentum of the fastest… MHT CET Medical 2026 The de Broglie wavelength of an electron with kinetic energy K_1 is λ_1 . If the kinetic… MHT CET Medical 2026 A student plots two different graphs using the same photoelectric experiment data. 1.… MHT CET Medical 2026 In a photoelectric cell, for the incident radiation of wavelength λ , the fastest… MHT CET Medical 2026 A particle is dropped from a height ' y '. The de-Broglie wavelength of the particle as a… MHT CET Medical 2026 Full Dual Nature of Matter list All NEET PYQs