PrepRung
Sign inSign up free

NDA 2017 GAT · General Knowledge · Motion, Forces and Gravitation · hard

A projectile is fired at an angle of 45 degrees with the horizontal on level ground. The ratio of its maximum height to its horizontal range is

Single correct option

A projectile is fired at an angle of 45 degrees with the horizontal on level ground. The ratio of its maximum height to its horizontal range is
  1. A. 1/2
  2. B. 1/4
  3. C. 1/8
  4. D. 1
Show answer and solution

Answer: (B) 1/4

Maximum height H = u^2 sin^2(theta)/(2g) and range R = u^2 sin(2 theta)/g. At 45 degrees, sin^2 is 1/2, so H = u^2/(4g), while R = u^2/g. The ratio H/R is therefore 1/4. In general H/R = tan(theta)/4, which gives 1/4 here because tan 45 = 1.
Report a mistake

Original question written in the NDA 2017 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake