The radius of a spherical nucleus as measured by electron scattering is 3.6 fm. What is the likely mass number of the nucleus?

Question

The radius of a spherical nucleus as measured by electron scattering is 3.6 fm. What is the likely mass number of the nucleus? (A) 27 (B) 40 (C) 56 (D) 120

Tardigrade Admin · Accepted Answer

Nuclear radius R=R0(A)1/ 3 where A is the mass number of a nucleus Given: R = 3.6 fm ∴ 3.6 fm =(1.2 fm)(A1 /3) [∵ R0=1.2 fm] or A=(3)3=27

Q. The radius of a spherical nucleus as measured by electron scattering is $3.6 f m$ . What is the likely mass number of the nucleus?

$27$

$40$

$56$

$120$

Nuclear radius $R = R_{0} (A)^{1/3}$
where $A$ is the mass number of a nucleus
Given : $R = 3.6 f m$
$∴ 3.6 f m = (1.2 f m) (A^{1/3}) [∵ R_{0} = 1.2 f m]$
or $A = (3)^{3} = 27$

Q. The radius of a spherical nucleus as measured by electron scattering is 3.6fm. What is the likely mass number of the nucleus?

27

40

56

120