The speed of projection of a projectile is increased by 5%, without changing the angle of projection. The percentage increase in the range will be

The correct option is D

10%

We know that, $R=\frac{u^{2}sin2\theta }{g}$
When the speed of projection is increased by 5%, $u^{\prime }=1.05u$
So, $R^{\prime }=\frac{(1.05u{)}^{2}sin2\theta }{g}=\frac{1.1025u^{2}sin2\theta }{g}=1.1025R$
$R^{\prime }$ is approximately $1.1R$.
Now, percentage increase in range $=\frac{1.1R-R}{R}\times 100=10$%
Thus, the correct choice is (d).