Home
Class 12
PHYSICS
When an object is shot from the bottom o...

When an object is shot from the bottom of a long smooth inclined plane kept at an angle `60^(@)` with horizontal, it can travel a distance `x_(1)` along the plane. But when the inclination is decreased to `30^(@)` and the same object is shot with the same velocity, it can travel `x_(2)` distance. Then `x_(1):x_(2)` will be :

A

`1 : sqrt 2`

B

`sqrt 2 :1`

C

`1 : sqrt 3`

D

`1 : 2 sqrt 3`

Text Solution

Verified by Experts

The correct Answer is:
C

(Stopping distance ) `xx_(1)=(u^(2))/(2g sin 60^(@))`
(Stopping distance) `x_(2)=(u^(2))/(2g sin 30^(@))`
`implies (x_(1))/(x_(2))=(sin 30^(@))/(sin 60^(@))=(1xx 2)/(2 xx sqrt 3)= 1 : sqrt 3`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    PHYSICS WALLAH|Exercise LEVEL-2|30 Videos

  • MECHANICAL PROPERTIES OF MATTER

    PHYSICS WALLAH|Exercise NEET Past 5 Yeats Questions|16 Videos

  • MOTION IN A STRAIGHT LINE

    PHYSICS WALLAH|Exercise NEET Past 5 Years Questions|5 Videos

Similar Questions

Explore conceptually related problems

A hollow cylinder is rolling on an inclined plane, inclined at an angle of 30^(@) to the horizontal. Its speed after travelling a distance of 10 m will be

A 10 kg block slides without acceleration down a rough inclined plane making an angle of 20^(@) with the horizontal. Calculate the acceleration when the inclination of the plane is increased to 30^(@) and the work done over a distance of 1.2m . Take g=9.8ms^(-2) .

A body is projected up from the bottom as inclined plane with velocity 3sqrt3m//sec which makes an angle 60^(@) if the horizontal. The angle of projection is 30^(@) with the plane then the time of flight when it strikes the same plane is 0.1x. Then the value of x is

A ball is projected from the foot of an inclined plane of inclination 30^(@) at an angle 60^(@) with the horizontal,with velocity 20sqrt(3)ms^(-1) .The time after which the ball will strike the plane is

A particle is projected from the bottom of an inclined plane of inclination 30^@ with velocity of 40 m//s at an angle of 60^@ with horizontal. Find the speed of the particle when its velocity vector is parallel to the plane. Take g = 10 m//s^2 .

A projectile is projected upward with speed 2m//s on an incline plane of inclination 30^(@) at an angle of 15^(@) from the plane. Then the distance along the plane where projectile will fall is :

A body is kept on a smooth inclined plane having an inclination of 1 in x. Then,

An object is kept on a smooth inclined plane of height 1 unit and length l units. The horizontal acceleration to be imparted to the inclined plane so that the object is stationary relative to the incline is