If the radius of a nucleus with mass number 125 is 1.5 fermi then radius of nucleus with mass number 64 is

Options

A. 0.48 fermi
B. 0.96 fermi
C. 1.92 fermi
D. 1.2 fermi

Answer

D

Explanation

From Rutherford's Experiment,Nucleus of mass number(A) has radius,
`R = R_(0)A^(1/3)`
`rArr R alpha A^(1/3)`
`R_(1) = 1.5 fermi,A_(1)= 125 ,A_(2)=64`
`rArr R_(1)/R_(2) = (A_(1)/A_(2))^(1//3)`
`R_(2)= 1.5xx4/5 = 1.2`fermi