Solveeit Logo

Question

Physics Question on Nuclear physics

A freshly prepared radioactive source of half-life 2 h emits radiation of intensity which is 64 times the permissible safe level. The minimum time after which it would be possible to work safely with this source is

A

6 h

B

12 h

C

24 h

D

128 h

Answer

12 h

Explanation

Solution

From R=R0(12)2R=R_0\bigg(\frac{1}{2}\bigg)^2
we have, 1=64(12)1=64\bigg(\frac{1}{2}\bigg)
or n = 6 = number of half lives
t=n×tt1/2=6×2=12h\therefore t=n\times t_{t1/2}=6\times2=12h