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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Nuclear Physics

JEE Main 2005 · Physics · Nuclear Physics

Starting with a sample of pure ^ 66 Cu, 7 / 8 of it decays into Zn...

Starting with a sample of pure 66Cu,7/8{ }^{66} \mathrm{Cu}, 7 / 8 of it decays into Zn\mathrm{Zn} in 15 minutes. The corresponding half-life is

Options

  1. A10 minutes
  2. B15 minutes
  3. C5 minutes
  4. D7127 \frac{1}{2} minutes

Correct answer

C. 5 minutes

Step-by-step solution

N0⟶t1/2N02⟶t1/2N04⟶t1/2N08\mathrm{N}_0 \stackrel{\mathrm{t}_{1/2}}{\longrightarrow} \frac{\mathrm{N}_0}{2} \stackrel{\mathrm{t}_{1/2}}{\longrightarrow} \frac{\mathrm{N}_0}{4} \stackrel{\mathrm{t}_{1/2}}{\longrightarrow} \frac{\mathrm{N}_0}{8} 3t1/2=15∴t1/2=53 \mathrm{t}_{1/2}=15 \therefore \mathrm{t}_{1/2}=5
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