JEE Main 2022PhysicsNuclear PhysicsMediumNumerical

JEE Main 2022Nuclear Physics Question with Solution

JEE Main 2022 (28 Jul Shift 1)

Question

A freshly prepared radioactive source of half life 2 hours 30 minutes emits radiation which is 64 times the permissible safe level. The minimum time, after which it would be possible to work safely with source, will be _____ hours.

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Show full solutionCorrect answer: 15
Correct answer
15

Step-by-step explanation

Given here, T=150 minutes,

A0=64x, where, x is the safe limit.

Using radioactive decay law relation, A=A0×2-tT, where, t is the minimum time in hours after which it would be possible to work safely with source.

Putting the values, we have 

x=64x×2-tT

  t=6 T=6×2.5=15 hours

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About this question

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