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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2021 · 27 July · Morning Shift · Physics · Dual Nature of Matter

A particle of mass 9 . 1 × 10 ^ - 31 kg travels in a medium with a...

A particle of mass 9.1×10−31kg9 . 1 \times {10}^{- 31}kg travels in a medium with a speed of 106ms−1{10}^{6}m{s}^{- 1} and a photon of radiation of linear momentum 10−27kgms−1{10}^{- 27}kgm{s}^{- 1} travels in a vacuum. The wavelength of the photon is ____ times the wavelength of the particle.

Correct answer

0

Step-by-step solution

For photon λ1=hP=6.6×10−3410−27{\lambda}_{1} = \dfrac{h}{P} = \dfrac{6 . 6 \times {10}^{- 34}}{{10}^{- 27}}
For particle λ2=hmv=6.6×10−349.1×10−31×106{\lambda}_{2} = \dfrac{h}{mv} = \dfrac{6 . 6 \times {10}^{- 34}}{9 . 1 \times {10}^{- 31} \times {10}^{6}}
∴λ1λ2=910∴ \dfrac{{\lambda}_{1}}{{\lambda}_{2}} = 910
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