An `O^(16)` nucleus is spherical and has a radius R and a volume `V=(4)/(3) pi R^(3)`.According to the empirical observation, the volume of the `._(54)X^(128)` nucleus assumed to be sphericla is `V'` and radius is `R'`. Then

Options

A. `V'=8V`
B. `V'=2V`
C. `R'=2R`
D. `R'=8R`

Answer

a,c

Explanation

`R =R_(0)A^(1//3)`
For `O^(16), R=R_(0)(16)^(1//3)`
For `._(54)X^(128), R'=R_(0)(16)^(1//3)`
`R' =R=_(0) (128)^(1//3)`
`R'=((128)/(16))^(1//3) R=2R`
`:. V'=(4)/(3) piR^(13)=8V`.