JEE Main 2017PhysicsDual Nature of MatterHardMCQ

JEE Main 2017 — Dual Nature of Matter Question with Solution

JEE Main 2017 (02 Apr)

Question

A particle A of mass m and initial velocity v collides with a particle B of mass m2 which is at rest. The collision is head on, and elastic. The ratio of the de-Broglie wavelengths λA to λB after the collision is:

Choose an option

Show full solutionCorrect option: C
Correct answer
CλAλB=2

Step-by-step explanation



mV=m V A + m 2 V B

V= V A + V B 2    −−−−−−−−−−−−  (i)

V= V B − V A     −−−−−−−−−−−−  (ii)

Solving (i) and (ii)

2V= 3 V B 2

∴ V B = 4V 3

V A = V B −V= V 3

P A = mV 3

P B = m 2 . 4V 3

λ A λ B = h× P B P A ×h = 2mV 3 mV 3 =2

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About this question

This is a previous-year question from JEE Main 2017, covering the Dual Nature of Matter chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.