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JEE Main 201912 JanuaryMorning Shift

Exam: JEE Main
Year: 2019
Date: 12 January
Shift: Morning Shift
Subject: Physics
Chapter: Dual Nature of Matter

JEE Main 2019 · 12 January · Morning Shift · Physics · Dual Nature of Matter

A particle A of mass m and charge q is accelerated by a potential...

A particle

A

of mass

m

and charge

q

is accelerated by a potential difference of

50V .

Another particle

B

of mass

4m

and charge

q

is accelerated by a potential difference of

2500V .

The ratio of de-Broglie wavelengths

\dfrac{{\lambda}_{A}}{{\lambda}_{B}}

is close to:

Options

A $0.07$
B $10.00$
C $4.47$
D $14.14$

Correct answer

D. $14.14$

Step-by-step solution

de-Broglie wavelength

\lambda = \dfrac{h}{ρ}

= \dfrac{h}{\sqrt{2meV}}

\dfrac{{\lambda}_{A}}{{\lambda}_{B}} = \sqrt{\dfrac{4m \times 2500}{m \times 50}}

= 2 \times 5\sqrt{2}

= 14.14

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