JEE Main 2020PhysicsDual Nature of MatterEasyNumerical

JEE Main 2020 — Dual Nature of Matter Question with Solution

JEE Main 2020 (05 Sep Shift 1)

Question

A beam of electrons of energy E scatters from a target having atomic spacing of 1 Å. The first maximum intensity occurs at θ=60°. Then E(in eV) is........
(Planck's constant h=6.64×10-34 Js, 1 eV=1.6×10-19J, electron mass m=9.1×10-31 kg)

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Show full solutionCorrect answer: 50
Correct answer
50

Step-by-step explanation

2dsinθ=nλ

2d32=1λ

d=1 Å

λ=3 Å

λ=3=150V

V=50 volt

E=50 eV

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About this question

This is a previous-year question from JEE Main 2020, 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.