Number of `alpha`- particles emitted per second by a radioactive element falls to 1//32 of its original value in 50 days. The half-life-period of this element is

Options

A. 5 days
B. 15 days
C. 10 days
D. 20 days

Answer

C

Explanation

`T = 50` days, `t_(1//2) = ?, N_(0) = 1, N = (1)/(32)`
`N = N_(0) xx ((1)/(2))^(n) or (1)/(32) = 1 xx ((1)/(2))^(n)`,
or `((1)/(2))^(5) = ((1)/(2))^(n) or n = 5`
`T = t_(1//2) xx 2, or t_(1//2) = (50)/(5) = 10` days.