The speed of a projectile at its maximum height is $\frac{\sqrt{3}}{2}$ times its initial speed. If the range of the projectile is $P$ times the maximum height attained by it, then $P$ equals :

Question

( A ) $2\sqrt{3}$
( B ) $\frac{3}{4}$
( C ) $\frac{4}{3}$
( D ) $4\sqrt{3}$