Atomic radius is of the order of 10-8 cm and nuclear radius is of the order of 10-13 cm . The fraction of atom occupied by nucleus is

Question

Atomic radius is of the order of 10-8 cm and nuclear radius is of the order of 10-13 cm . The fraction of atom occupied by nucleus is (A) 10-5 (B) 105 (C) 10-15 (D) none of these

Tardigrade Admin · Accepted Answer

(Vn/Va)=((4/3) π(rn)3/(4)3 π(ra)3) =(rn3/ra3)=((10-13)3/(10-8)3)=10-15

Q. Atomic radius is of the order of $1 0^{- 8} c m$ and nuclear radius is of the order of $1 0^{- 13} c m .$ The fraction of atom occupied by nucleus is

$1 0^{- 5}$

$1 0^{5}$

$1 0^{- 15}$

none of these

$\frac{V _{n}}{V _{a}} = \frac{\frac{4}{3} π ( r _{n} ) ^{3}}{\frac{4}{3} π ( r _{a} ) ^{3}}$

$= \frac{r _{n}^{3}}{r _{a}^{3}} = \frac{( 1 0 ^{- 13} ) ^{3}}{( 1 0 ^{- 8} ) ^{3}} = 1 0^{- 15}$

Q. Atomic radius is of the order of 10−8cm and nuclear radius is of the order of 10−13cm. The fraction of atom occupied by nucleus is

10−5

105

10−15