The nuclear radius of a certain nucleus is 7.2 fm and it has charge of 1.28× 10- 17C . The number of neutrons inside the nucleus is α , then find the value of textα.(R0 = 1 . 2 fm)

Question

The nuclear radius of a certain nucleus is 7.2 fm and it has charge of 1.28× 10- 17C . The number of neutrons inside the nucleus is α , then find the value of textα.(R0 = 1 . 2 fm) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

7.2=1.2A1 / 3 ⇒ A=63=216 Now, 1.28× 10- 17=Z× 1.6× 10- 19 ⇒ (128/1 . 6)=Z=80 ⇒ N=A-Z=136

Q. The nuclear radius of a certain nucleus is $7.2 f m$ and it has charge of $1.28 \times 1 0^{- 17} C$ . The number of neutrons inside the nucleus is $α,$ then find the value of $α. (R_{0} = 1.2 f m)$

$7.2 = 1.2 A^{1/3}$
$\Rightarrow A = 6^{3} = 216$
Now, $1.28 \times 1 0^{- 17} = Z \times 1.6 \times 1 0^{- 19}$
$\Rightarrow \frac{128}{1.6} = Z = 80$
$\Rightarrow N = A - Z = 136$

Q. The nuclear radius of a certain nucleus is 7.2fm and it has charge of 1.28×10−17C . The number of neutrons inside the nucleus is α, then find the value of α.(R0​=1.2fm)

7.2=1.2A1/3 ⇒A=63=216 Now, 1.28×10−17=Z×1.6×10−19 ⇒1.6128​=Z=80 ⇒N=A−Z=136

Q. The nuclear radius of a certain nucleus is $7.2 f m$ and it has charge of $1.28 \times 1 0^{- 17} C$ . The number of neutrons inside the nucleus is $α,$ then find the value of $α. (R_{0} = 1.2 f m)$

$7.2 = 1.2 A^{1/3}$
$\Rightarrow A = 6^{3} = 216$
Now, $1.28 \times 1 0^{- 17} = Z \times 1.6 \times 1 0^{- 19}$
$\Rightarrow \frac{128}{1.6} = Z = 80$
$\Rightarrow N = A - Z = 136$