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An element has half-life 1600 years. The...

An element has half-life 1600 years. The mass left after 6400 years will be

A

`1//16`

B

`1//12`

C

`1//4`

D

`1//32`

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1//2) = 1600 yrs `, `N_0 = 1 , N = ? , T= 6400 ` yrs
`T= t_(1//2) xx n ` , or `n = (6400)/(1600) = 4 `
`N = N_0 xx (1/2)^n , N = 1 xx (1/2)^4 , N = 1/(16)`
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