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Dual Nature of Radiation and Matter

De broglie wavelength

An -particle and a proton are accelerated from rest by a poten

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An $α$ -particle and $a$ proton are accelerated from rest by $a$ potential difference of $100 V$ . After this, their de-Broglie wavelengths are $λ_{α}$ and $λ_{p}$ respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ , to the nearest integer, is

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Updated on: Mar 27, 2023

Book:

Optics And Modern Physics (DC Pandey)

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Charlotte Discussed

α

-particle and

a

proton are accelerated from rest by

a

potential difference of

100 V

. After this, their de-Broglie wavelengths are

λ_{α}

and

λ_{p}

respectively. The ratio

\frac{λ _{p}}{λ _{α}}

, to the nearest integer, is

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

∵ λ = \frac{h}{p} = \frac{h}{2 q Vm}

λ \propto \frac{1}{q m}

\frac{λ _{p}}{λ _{α}}

= \frac{q _{α}}{q _{p}} \cdot \frac{m _{α}}{m _{p}}

= \frac{( 2 ) ( 4 )}{( 1 ) ( 1 )} = 2.828

The nearest integer is 3 .

∴

Answer is 3 .

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Question Text	An $α$ -particle and $a$ proton are accelerated from rest by $a$ potential difference of $100 V$ . After this, their de-Broglie wavelengths are $λ_{α}$ and $λ_{p}$ respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ , to the nearest integer, is
Updated On	Mar 27, 2023
Topic	Dual Nature of Radiation and Matter
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 5
Upvotes	602
Avg. Video Duration	5 min

An $α$ -particle and $a$ proton are accelerated from rest by $a$ potential difference of $100 V$ . After this, their de-Broglie wavelengths are $λ_{α}$ and $λ_{p}$ respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ , to the nearest integer, is

Text solutionVerified

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An $α$ -particle and $a$ proton are accelerated from rest by $a$ potential difference of $100 V$ . After this, their de-Broglie wavelengths are $λ_{α}$ and $λ_{p}$ respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ , to the nearest integer, is