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The half-life period of a radioactive el...

The half-life period of a radioactive element is 140 days. After 560 days, `1g` of the element will reduce to
a. `0.5 g` b. `0.25 g` c. `1//8 g` d. `1//16 g`

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
`T=nxxt_(1//2)`
`:. n=(T)/(t_(1//2))=(560)/(140)=4`
Now, ` N_(t)=N_(0)((1)/(2))^(n)=1xx((1)/(2))^(4)=(1)/(16)g`
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