The fraction of volume occupied by the nucleus with respect to the total volume of an atom is.

Options

A. `10^4`
B. `10^(-12)`
C. `10^12`
D. `10^8`

Answer

B

Explanation

The radius of the atom is of the order of `10^(-10) m " or " R_a = 10^(-10)` m and the radius of the nucleus is of the order of `10^(-14) m " or " R_n = 10^(-14) m`
`therefore` Volume of the atom `= (4/3 pi R_a^3)/(4/3piR_n^3) = (R_a/R_n)^3`
`=((10^(-10))/(10^(-14)))^3`
`therefore V_a/V_n = (10^4)^3 = 10^12`