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The nuclear radius of a nucelus with nu...

The nuclear radius of a nucelus with nucleon number `16` is `3 xx 10^(-15) m`. Then, the nuclear radius of a nucleus with nucleon number `128` is .

A

`3 xx 10^(-15)m`

B

`1.5 xx 10^(-15)m`

C

`6 xx 10^(-15)m`

D

`4.5 xx 10^(-15)m`

Text Solution

Verified by Experts

The correct Answer is:
C
Radius R of a nucleus changes with the nucleon with the nucleon number A of the nucleus as `R = 3 xx 10^(-15) xx A^(1//3)`m
Hence, `(R_(2))/(R_(1)) = ((A_(2))/(A_(1)))^(1//3) = ((128)/(16))^(1//3) = (8)^(1//3) = 2`
`therefore" "R_(2) = 2R_(1) = 2 (3 xx 10^(-15))m = 6 xx 10^(-15)` m
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