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Physics · PYQ NEET UG 2018

हिन्दी

For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is

  1. 20
  2. 10
  3. 30
  4. 15

Correct answer · Option 1

20

Explanation

Remaining nuclei \( N = 600 - 450 = 150 \). Since \( N = N_0 (\frac{1}{2})^{t/T_{1/2}} \), so \( 150 = 600 (\frac{1}{2})^{t/10} \implies (\frac{1}{2})^2 = (\frac{1}{2})^{t/10} \implies t = 20\text{ minutes} \).
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