A radioactive sample decays (7/4) times its original quantity in 15 minutes. The half-life of the sample is

Question

A radioactive sample decays (7/4) times its original quantity in 15 minutes. The half-life of the sample is (A) 5 min (B) 7.5 min (C) 15 min (D) 30 min

Tardigrade Admin · Accepted Answer

Remaining =(1/8) 3 t 1 / 2=15 min t 1 / / 2=5 min

Q. A radioactive sample decays $\frac{7}{4}$ times its original quantity in 15 minutes. The half-life of the sample is

$5 min$

$7.5 min$

$15 min$

$30 min$

Remaining $= \frac{1}{8}$
$3 t_{1/2} = 15 min$
$t_{1//2} = 5 min$

Q. A radioactive sample decays 47​ times its original quantity in 15 minutes. The half-life of the sample is

5min

7.5min

15min

30min