Question

A radioactive substance has a half life of 1 year. The fraction of this material which will remain after 6 years will be
(a) 1/6
(b) 1/16
(c) 1/32
(d) 1/64
​

Answer 1

Answer:

your answer is the fraction of this material which will remain after 6 year will be A

Answer 2

(d)In 6 years the 1/64th substance will remain.

Explanation:

The equation for half life is given as

$N=N_0(\frac{1}{2})^n$

Here, n is the number of half lives.

$n=\frac{6\ years}{1\ years} =6$

substitute the value, we get

$N=N_0(\frac{1}{2})^6$

$\frac{N}{N_0} =\frac{1}{64}$

Thus, in 6 years the 1/64th substance will remain.

#Learn more: RADIOACTIVE

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