The nuclear radius is of the order of 10-3 cm while atomic radius is of the order 10-8 cm. Assuming the nucleus and the atom to be spherical, the fraction of the atomic volume occupied by the nucleus is

Question

The nuclear radius is of the order of 10-3 cm while atomic radius is of the order 10-8 cm. Assuming the nucleus and the atom to be spherical, the fraction of the atomic volume occupied by the nucleus is (A) 10-15 (B) 10-10 (C) 10-13 (D) 10-14

Tardigrade Admin · Accepted Answer

The volume of a sphere = 4π r3/3, where r is the radius of the sphere. ∴ Volume of the nucleus =4 π r3/3 4π (10-13)3/3 cm3 Similarly, volume of the atom =4π r3 /3 = 4π (10-8)/3 cm3 Fraction of the volume of atom occupied by the nucleus = (4π (10-13)3 /3 cm3/4π(10-8)3 /3cm3) =10-15

Q. The nuclear radius is of the order of $1 0^{- 3} c m$ while atomic radius is of the order $1 0^{- 8} c m$ . Assuming the nucleus and the atom to be spherical, the fraction of the atomic volume occupied by the nucleus is

$1 0^{- 15}$

$1 0^{- 10}$

$1 0^{- 13}$

$1 0^{- 14}$

Q. The nuclear radius is of the order of 10−3cm while atomic radius is of the order 10−8cm. Assuming the nucleus and the atom to be spherical, the fraction of the atomic volume occupied by the nucleus is

10−15

10−10

10−13

10−14

The volume of a sphere =4πr3/3, where r is the radius of the sphere. ∴Volume of the nucleus =4πr3/3 4π(10−13)3/3cm3 Similarly, volume of the atom =4πr3/3=4π(10−8)/3cm3 Fraction of the volume of atom occupied by the nucleus =4π(10−8)3/3cm34π(10−13)3/3cm3​=10−15

Q. The nuclear radius is of the order of $1 0^{- 3} c m$ while atomic radius is of the order $1 0^{- 8} c m$ . Assuming the nucleus and the atom to be spherical, the fraction of the atomic volume occupied by the nucleus is

$1 0^{- 15}$

$1 0^{- 10}$

$1 0^{- 13}$

$1 0^{- 14}$