Question

The permittivity of diamond is $1.46\times {10}^{-10}{C}^2/N{m}^2$ The electric susceptibility of diamond will be $({\epsilon }_0=8.85\times {10}^{-12}{C}^2/N{m}^2)$ :

• A. 15.5
• B. 16.5
• C. 7.75
• D. none of these

Answer 1

Answer: (A)

Dielectric constant is given by as
$K=\frac{\epsilon }{{\epsilon }_0}=\frac{1.46\times {10}^{-10}}{8.85\times {10}^{-12}}=16.5$
Now, by the relation for susceptibility $K=1+X_e$ or
$X_e=K-1$ $=16.5-1=15.5$