Question

The maximum range of rifle bullet on the horizontal ground is 6 km its maximum range on an inclined of ${30}^{\circ }$ will be

• A. 1 km
• B. 2 km
• C. 4 km
• D. 6 km

Answer 1

The correct option is C 4 km

Maximum range on horizontal plane $R=\frac{u^2}{g}=6km\left(given\right)$
Maximum range on a inclined plane $R_{max}=\frac{u^2}{g(1+sin\alpha )}$
Putting $\alpha ={30}^{\circ }{R}_{max}=\frac{u^2}{g(1+sin{30}^{\circ })}=\frac{2}{3}\left(\frac{u^2}{g}\right)=\frac{2}{3}\times 6=4km$.