Loading [MathJax]/jax/output/HTML-CSS/jax.js
Home / Aptitude Tests / Physics / The ratio of maximum...

The ratio of maximum range to maximum height of a project...

The ratio of maximum range to maximum height of a projectile is 4. Determine the angle of projection.

A.

300

B.

600

C.

450

D.

00

Correct answer is C

Maximum Range R = u2sin2θg

maximum height H = u2sin2θ2g

But R : H = 4

u2sin2θgu2sin2θ2g = 4

u2sin2θg×2gu2sin2θ = 4

 2sin2θsin2θ = 4 

since 2sinΘ = 2sinΘcosΘ

 2×2sinθcosθsin2θ = 4 

 4sinθcosθsin2θ = 4 

sinθcosθsin2θ = 1

cosθsinθ = 1

sinθcosθ = 1 

tanθ = 1

θ=tan11 = 45°