Motion in a Plane - Result Question 37

40. If a body $A$ of mass $M$ is thrown with velocity $v$ at an angle of $30^{\circ}$ to the horizontal and another body $B$ of the same mass is thrown with the same speed at an angle of $60^{\circ}$ to the horizontal, the ratio of horizontal range of $A$ to $B$ will be

[1992]

(a) $1: 3$

(b) $1: 1$

(c) $1: \sqrt{3}$

(d) $\sqrt{3}: 1$

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Answer:

Correct Answer: 40. (b)

Solution:

  1. (b) Horizontal range is same when angle of projection with the horizonatal is $\theta$ and $(90^{\circ}-\theta)$.