The interatomic distance for a metal is `3 xx 10^(-10)` m. If the interatomic force constant is `3.6 xx 10^(-9) N//Å`. The the Young's modulus in `N//m^(2)` will be

Options

A. `1.2xx10^(11)`
B. `4.2xx10^(11)`
C. `10.8 xx 10^(8)`
D. `2.4 xx 10^(10)`

Answer

A

Explanation

(a) Young's Modulus `Y=(3.6xx10^(-9)N//Å)/(3xx10^(-10)m)`
`=(3.6xx10^(-9))/(3xx10^(-10)xx10^(-10))=1.2xx 10^(11) Nm^(-2)`