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The half- life periof of a radioactive e...

The half`-` life periof of a radioactive element is 140 days. After 560 days, one gram of the element will reduce to

A

`(1)/(2) g`

B

`(1)/(4) g`

C

`(1)/(8) g`

D

`(1)/(16) g`

Text Solution

Verified by Experts

The correct Answer is:
D
No. of half-lifes `= (560)/(140) = 4`, If 'n' half lives, the element
will reduce of `((1)/(2))^(n) xx " initial weight " = (1)/(16) gm`
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