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JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2020 · 2 September · Evening Shift · Physics · Dual Nature of Matter

A particle is moving 5 times as fast as an electron. The ratio of...

A particle is moving 55 times as fast as an electron. The ratio of the de-Broglie wavelength of the particle to that of the electron is 1.878×10–41 . 878 \times {10}^{– 4}. The mass of the particle is close to :

Options

  1. A4.8×10−27kg4 . 8 \times {10}^{- 27}kg
  2. B9.1×10−31kg9 . 1 \times {10}^{- 31}kg
  3. C1.2×10−28kg1 . 2 \times {10}^{- 28}kg
  4. D9.7×10−28kg9 . 7 \times {10}^{- 28}kg

Correct answer

D. 9.7×10−28kg9 . 7 \times {10}^{- 28}kg

Step-by-step solution

λ=hmv\lambda = \dfrac{h}{mv}
⇒m′m=vλv′λ′=15×11.878×10−4×9.1×10−31⇒ \dfrac{{m}^{'}}{m} = \dfrac{v\lambda}{{v}^{'}{\lambda}^{'}} = \dfrac{1}{5} \times \dfrac{1}{1 . 878} \times {10}^{- 4} \times 9 . 1 \times {10}^{- 31}
m′=9.7×10−28kg{m}^{'} = 9 . 7 \times {10}^{- 28}kg
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