Home
Class 12
PHYSICS
Two inclined planes OA and OB intersect ...

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations `alpha and beta` with the horizontal as shown in figure. A particle is projected from P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicularly at Q.

If `alpha = 30^@ , beta = 30^@` and a = 4.9 m, the initial velocity of projection is

A

9.8 m/s

B

4.9 m/s

C

`4.9 sqrt2m//s`

D

19.6 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
`PQ=2a cos 30^(@)=u_(x)t =u cos 60^(@) ((usqrt3)/(g)) rArr u=g=9.8 m//s`
Promotional Banner

Topper's Solved these Questions

  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|19 Videos

  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|19 Videos

  • Motion in Two Dimensions

    VMC MODULES ENGLISH|Exercise Long Answer Type|5 Videos

  • Motion in Straight Line

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-J|10 Videos

  • MOVING CHARGES & MAGNETISM

    VMC MODULES ENGLISH|Exercise IN-CHAPTER EXERCISE-K|10 Videos

Similar Questions

Explore conceptually related problems

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations alpha and beta with the horizontal as shown in figure. A particle is projected from P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicularly at Q. If alpha = 30^@ , beta = 30^@ the time of flight from P to Q is

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations alpha and beta with the horizontal as shown in figure. A particle is projected from P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicularly at Q. If alpha = 30^@ , beta = 30^@ the time of flight from P to Q is

Two inclined planes OA and OB intersect in a horizontal plane having their inclinations alpha and beta with the horizontal as shown in figure. A particle is projected from P with velocity u along a direction perpendicular to plane OA. The particle strikes plane OB perpendicularly at Q. The path of the particle from P to Q is

Two inclined planes OA and OB having inclinations 30^@ and 60^@ with the horizontal respectively intersect each other at O, as shown in figure. A particle is projected from point P with velocity u=10 sqrt(3) m//s along a direction perpendicular to plane OA. If the particle strikes plane OB perpendicular at Q. Calculate. (a) time of flight, (b) velocity with which the particle strikes the plane OB, (c) height h of point P from point O, (d) distance PQ. (Take g=10m//s^(2) )

Two inclined planes OA and OB having inclination (with horizontal) 30^(@) and 60^(@) , respectively, intersect each other at O as shown in figure. A particle is projected from point P with velocity u = 10sqrt3 ms^(-1) along a direction perpendicular to plane OA. If the particle strikes plane OB perpendicularly at Q, calculate The vertical height h of P from O,

Two inclined planes OA and OB having inclination (with horizontal) 30^(@) and 60^(@) , respectively, intersect each other at O as shown in figure. A particle is projected from point P with velocity u = 10(sqrt3) ms^(-1) along a direction perpendicular to plane OA. If the particle strikes plane OB perpendicularly at Q, calculate The velocity with which particle strikes the plane OB,

Two inclined planes OA and OB having inclination (with horizontal) 30^(@) and 60^@ (with horizontal), respectively, intersect each other at O as shown in figure. A particle is projected from point P with velocity u = 10sqrt3 ms^(-1) along a direction perpendicular to plane OA. If the particle strikes plane OB perpendicularly at Q, calculate The maximum height attained by the particle (from the line O)

An inclined plane is inclined at theta with horizontal as shown in (figure).Write a unit vector in the direction parallel (hat(a)) and perpendicular (hat(b)) to inclined plane,in standard xy coordinate system.

A ball is projected from point A with velocity 10 ms^(-1) perpendicular to the inclined plane as shown in figure. Range of the ball on the inclined plane is

A ball is projected from point A with velocity 20 m/s prependicular to the inclined plane as shown in figure. What is the range of the ball on the inclined plane ?

VMC MODULES ENGLISH-Motion in Two Dimensions-Level -1
  1. Two inclined planes OA and OB intersect in a horizontal plane having t...

    Text Solution

    |

  2. Two inclined planes OA and OB intersect in a horizontal plane having t...

    Text Solution

    |

  3. Two inclined planes OA and OB intersect in a horizontal plane having t...

    Text Solution

    |

  4. A particle is moving in a circle of radius r centred at O with constan...

    Text Solution

    |

  5. A point in the rim of a wheel 4 m in diameter has linear velocity of ...

    Text Solution

    |

  6. The angular displacement of a particle is given by theta = t^4 +t^3 +...

    Text Solution

    |

  7. The speed of a motor increases uniformly from 600 rpm to 1200 rpm in 1...

    Text Solution

    |

  8. A point at the periphery of a disc rotating about a fixed axis moves s...

    Text Solution

    |

  9. The angular frequency of a fan increases uniformly from 30 rpm to 60 r...

    Text Solution

    |

  10. A ball starts moving in a circular slot with angular acceleration alph...

    Text Solution

    |

  11. A particle moves in a circle with constant tangential acceleration sta...

    Text Solution

    |

  12. For a particle moving along a circular path the radial acceleration a...

    Text Solution

    |

  13. A particle starts moving with a constant angular acceleration in a ci...

    Text Solution

    |

  14. A particle starts travelling on a circle with constant tangential acce...

    Text Solution

    |

  15. A heavy particle is projected from a point on the horizontal at an ang...

    Text Solution

    |

  16. A particle moves in the x-y plane with velocity vx = 8t-2 and vy = 2. ...

    Text Solution

    |

  17. A ball thrown in air follows a path given by y= x/sqrt3 -(3g)/8 x^2 m...

    Text Solution

    |

  18. A particle starts from the origin of coordinates at time t = 0 and mov...

    Text Solution

    |

  19. When air resistance is taken into account while dealing with the motio...

    Text Solution

    |

  20. A bomb is dropped from an aeroplane when it is at a height h directly ...

    Text Solution

    |