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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceSingle correctMediumApplication

JEE Main 18 March 2021, Shift 1, Physics Q11

Question 11 of 90 in this shift, Physics question 11 of 30, Section A.

A radioactive sample disintegrates via two independent decay processes having half lives T1/2(1)T_{1/2}^{(1)} and T1/2(2)T_{1/2}^{(2)} respectively. The effective half-life, T1/2T_{1/2} of the nuclei is :
  1. (1)T1/2=T1/2(1) T1/2(2)T1/2(1)+T1/2(2)T_{1/2} = \frac{T_{1/2}^{(1)}\,T_{1/2}^{(2)}}{T_{1/2}^{(1)} + T_{1/2}^{(2)}}Official answer
  2. (2)T1/2=T1/2(1)+T1/2(2)T_{1/2} = T_{1/2}^{(1)} + T_{1/2}^{(2)}
  3. (3)T1/2=T1/2(1)+T1/2(2)T1/2(1)−T1/2(2)T_{1/2} = \frac{T_{1/2}^{(1)} + T_{1/2}^{(2)}}{T_{1/2}^{(1)} - T_{1/2}^{(2)}}
  4. (4)None of the above

Official answer

Option 1

NTA final key.

Chapter
Nuclei

Same idea in other shifts

Asked 2× in all
  1. 26 Jun 2022, Shift 2 · Q48A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the…EasySingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.