Question

Four projectiles are projected with the same speed at angles ${20}^o$, ${35}^o$, ${60}^o$ and ${75}^o$ with the horizontal. The range will be the longest for the projectile whose angle of projection is

• A. ${20}^o$
• B. ${35}^o$
• C. ${60}^o$
• D. ${75}^o$

Answer 1

The correct option is B ${35}^o$

Range $\propto \sin 2\theta$
$\Rightarrow R_1\propto \sin {40}^0$
$R_2\propto \sin {70}^0$
$R_3\propto \sin {120}^0=\sin 60$
$R_4\propto \sin {150}^0=\sin 30$
$\Rightarrow \sin 70$ is greatest in the above ones.
$\Rightarrow R_2$ is the greatest for $\theta ={35}^0$