Question

Three particles $A,B$ and $C$ are projected from the same point with the same initial speeds making angles $30$, $45$ and $60$ respectively with the horizontal. Which of the following statements is correct

• A. $A,B$ and $C$ have unequal ranges
• B. Ranges of $A$ and $C$ are equal and less than that of $B$
• C. Ranges of $A$ and $C$ are equal and greater than that of $B$
• D. $A,B$ and $C$ have equal ranges

Answer 1

Answer: (B)

Ranges of $A$ and $C$ are equal and less than that of $B$

If two bodies thrown at same speed at angles such that their sum $=\pi /2$ then both of them will have the same range, so $A$ and $C$ will have same range.
Also the range is maximum when angle of projection is ${45}^o$.
$\left(B\right)$ is correct.