The radius R of a nucleus of mass number A can be estimated by the formula R = (1 . 3 × 10 ^ - 15 ) A ^ 1 / 3 m . It follows that the mass density of n nucleus is of the order of: ( M _ prot ≅ M _ neut ≃ 1 . 67 × 10 ^

Correct answer: D. 10 ^ 17 kg m ^ - 3 _ nucleus = mass volume = A (4 / 3) π r_0^3 A = 3 4 π r_0^3 =2.3 × 10^ 17 kg / m^3

JEE Main 20203 SeptemberEvening Shift

JEE Main 2020 · 3 September · Evening Shift · Physics · Nuclear Physics

The radius R of a nucleus of mass number A can be estimated by the...

The radius

R

of a nucleus of mass number

A

can be estimated by the formula

R = \left(1 . 3 \times {10}^{- 15}\right){A}^{1 / 3}m

. It follows that the mass density of n nucleus is of the order of: \left({M}_{prot} ≅ {M}_{\text{neut}} ≃ 1 . 67 \times {10}^{- 27}kg\right)

D. ${10}^{17}kg{m}^{- 3}$

\rho_{\text{nucleus }}=\frac{\text{ mass }}{\text{ volume }} =\frac{A}{(4 / 3) \pi r_0^3 \mathrm{ A}}=\frac{3}{4 \pi \mathrm{r}_0^3} =2.3 \times 10^{17} \mathrm{ kg} /

\mathrm{m}^3