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JEE Main 201910 JanuaryMorning Shift
Exam
JEE Main
Year
2019
Date
10 January
Shift
Morning Shift
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2019 · 10 January · Morning Shift · Physics · Nuclear Physics

Using a nuclear counter the count rate of emitted particles from a...

Using a nuclear counter the count rate of emitted particles from a radioactive source is measured. At t=0t = 0 it was 16001600 counts per second and t=8t = 8 seconds it was 100100 counts per second. The count rate observed, as counts per second, at t=6t = 6 seconds is close to:

Options

  1. A400400
  2. B200200
  3. C150150
  4. D360360

Correct answer

B. 200200

Step-by-step solution

After 88 seconds count rate changes from A1=1600{A}_{1} = 1600 per second to A2=100{A}_{2} = 100 per second.

A2=A116=A124{A}_{2} = \dfrac{{A}_{1}}{16} = \dfrac{{A}_{1}}{{2}^{4}}

∴8s∴ 8s in 44 half life

⇒1⇒ 1 half life =2s= 2s

t=6st = 6s is 33 half life.

∴∴ Count rate after 33 second

A=A123=16008=200A = \dfrac{{A}_{1}}{{2}^{3}} = \dfrac{1600}{8} = 200
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