Home
Class 11
PHYSICS
A particle is dropped from a height h. A...

A particle is dropped from a height h. Another particle which is initially at a horizontal distance d from the first is simultaneously projected with a horizontal velocity u and the two particles just collide on the ground. Then

A

`d^2 = (u^2h)/(2h)`

B

`d^2 = (2u^2h)/g`

C

`d=h`

D

`gd^2 = u^2h`

Text Solution

Verified by Experts

The correct Answer is:
B

`T = (sqrt (2h)/g)`
`d = (u)T = u (sqrt(2h)/g)`
`:. d^2 = (2hu^2)/g` .
Doubtnut Promotions Banner Mobile Dark
|

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

A particle is projected from a point on the level ground and its height is h when at horizontal distances a and 2 a from its point of projection. Find the velocity of projection.

A particle is dropped from a height 12 g metre and 4 s after another particle is projected from the ground towards it with a velocity 4 g ms^(-1) The time after which the second particle meets first is

Knowledge Check

  • A particle (A) is dropped from a height and another particles (B) is thrown into horizontal direction with speed of 5m/s sec from the same height. The correct statement is

    A
    Both partiles will reaches at ground simultaneously
    B
    Both particles will reaches at ground with the same speed
    C
    Particle (A) will reach at ground at first with respect to particle (B)
    D
    Particle (B) will reach at ground at first with respect to particle (A)
  • A body A is dropped from a height h above the ground. At the same time another body B (at a horizontal' distance d from the line of fall of A) is fired from the ground at an angle alpha to the horizontal. If the two bodies collide at the highest point of the trajectory of B the angle of projection is given by

    A
    `alpha=tan^(-1)((d)/(h))`
    B
    `alpha=sin^(-1)((h)/(d))`
    C
    `alpha=tan^(-1)((h)/(d))`
    D
    `alpha=cos^(-1)((h)/(d))`
  • A particle is dropped from a height 12 g metre and 4 s after another particle is projected from the ground towards it with a velocity 4 g ms^(-1) The time after which the second particle meets first is

    A
    4 s
    B
    2 s
    C
    `1/2 s`
    D
    1 s
  • Similar Questions

    Explore conceptually related problems

    A particle is projected from point A on the ground at an angle theta with horizontal. Another particle is projected from point B simultaneously from height 4 H above point A with same velocity A and B are in the same vertical plane, where H is the maximum height attained by the particle A, Both the particle collide at the same time on the ground. Find the angle at which particle B is projected with hoizontal.

    Assertion Particle-1 is dropped from a tower and particle-2 is projected horizontal from the same tower. Then both the particles reach the ground simultaneously. Reason Both are particles strike the ground with different speeds.

    Assertion : A body droped from a given height and another body projected horizontal from the same height strike the ground simultaneously Reason : Because horizontal velocity has no effect in the vertical direction .

    A body, rpojected horizontally with a speed u from the top of a tower of height h , reaches the ground at a horizontally distance R from the tower. Another body, projected horizontally from the top of a tower of height 4h , reaches the ground at horizontal distance 2R from the tower. The initial speed of the second body is

    A particle just clear a wall of height b at a distance a and strikes the ground at a distance from the point of projection, the angle of projection is :