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QAIPMT-2010-Ph-2059: NEET 2010 Physics - Class 12 AIPMT-2010-Ph-2059 Solution: The activity of a radioactive sample is measured as \(N_0\)…

The activity of a radioactive sample is measured as N0N_0 counts per minute at t = 0 and N0/eN_0/e counts per minute at t = 5 minutes. The time (in minutes) at which the activity reduces to half its value is

Multiple Choice Options

  • A log⁡e5\log_e 5
  • B 52\frac{5}{2}
  • C log⁡e2\log_e 2
  • D 5log⁡1025\log_{10}2

Step-by-Step Verified Solution

Now N = N 0 e � _ t _ N 0 e = N 0 e �5t _ _ = 1 5 per minute Further, N 0 2 = N 0 e �_(t) t = 1 _ ln _ 2 = 5log e 2

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