JEE Main 2022PhysicsAtomic PhysicsMediumNumerical

JEE Main 2022 — Atomic Physics Question with Solution

JEE Main 2022 (29 Jun Shift 1)

Question

d1 and d2 are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For d1=xd2, the value of x will be _____ .

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Show full solutionCorrect answer: 3
Correct answer
3

Step-by-step explanation

The relation between impact parameter and scattering angle is b=kze2Ecotθ2

⇒b∝cotθ2

⇒d1∝cot60°2

⇒d2∝cot90°2

d1d2=cot60°2cot90°2=3⇒d1=3d2⇒x=3

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About this question

This is a previous-year question from JEE Main 2022, covering the Atomic Physics 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.