Home
Class 11
PHYSICS
A shell fired from the base of a mountai...

A shell fired from the base of a mountain just clears it. If `alpha` is the angle of projection, then the angular elevation of the summit `beta` is

A

`alpha/2`

B

`tan^(-1)(1/2)`

C

`tan^-1 ((tanalpha)/2)`

D

`tan^(-1)(2tanalpha)`

Text Solution

Verified by Experts

The correct Answer is:
C
`tan beta = H/(R//2) = (2H)/R`
`=((2u^2sin^2alpha)//(2g))/((2u^2sinalphacosalpha)//g) = (tan alpha)/2`
`:. beta = tan^(-1)((tanalpha)/2)`
Promotional Banner

Topper's Solved these Questions

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 More Than One Correct|8 Videos

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 2 Subjective|10 Videos

  • PROJECTILE MOTION

    DC PANDEY|Exercise Level - 1 Subjective|21 Videos

  • MOTION IN A PLANE

    DC PANDEY|Exercise (C )Medical entrances gallery|32 Videos

  • PROPERTIES OF MATTER

    DC PANDEY|Exercise Integer|8 Videos

Similar Questions

Explore conceptually related problems

The length of the shadow of a person s cm tall when the angle of a elevation of the sun is alpha is p cm. It is q cm when the angle of elevation of the sum is beta . Which one of the following is correct when beta = 3 alpha ?

A particle is projected over a traingle from one end of a horizontal base and grazing the vertex falls on the other end of the base. If alpha and beta be the base angles and theta the angle of projection, prove that tan theta = tan alpha + tan beta .

A particle is thrown over a triangle from one end of a horizontal base and after grazing the vertex falls on the other end of the base. If alpha and beta be the base angles and theta the angle of projection, prove that tan theta = tan alpha + tan beta .

If the range of a gun which fires a shell with muzzle speed V is R , then the angle of elevation of the gun is

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80 m high cliff. The shell strikes the ground 1330 m from the base of the cliff. The drawing is not to scale. What is the magnitude of the acceleration of the shell just before is strikes the ground?

A projectile is fired from the base of coneshaped hill. The projectile grazes the vertex and strikes the hill again at the base.If alpha be the half-angle of the cone, h its height, u the initial velocity of projection and theta angle of projection, then then theta tan theta is

A stone is projected from the ground with velocity 25m//s . Two seconds later, it just clears a wall 5 m high. The angle of projection of the stone is (g = 10m //sec^(2))