Question

Question #f18b2

Answer 1

An exponential decay which describes nuclear disintegration can be described in terms of half-life as below

`N(t)=N_{0}({1}/{2})^{\frac {t}{t_{1//2}}}` .....(1)
where `N_0` is the initial quantity of the disintegrating sample,
`N(t)` is the quantity of sample that still remains after a time `t`,
`t_(1//2)` is the half-life of the sample.

1. the quantity `N_0` may be measured in grams, moles, number of atoms etc.
2. It is statistical probability that half of the sample would decay in a time equal to one Half life.

Inserting given values in the equation (1) we get
`N(t)=N_{0}({1}/{2})^{\frac {10}{5}}`
`=>N(t)=N_{0}({1}/{4})`
`=>` Quantity of sample disintegrated is `3/4N_0`

From definition of half life, probability of nuclear disintegration in `10` years is `0.75`.