Home
Class 12
PHYSICS
A ball rolls off the top of a staircase ...

A ball rolls off the top of a staircase with a horizontal velocity `u ms^-1`. If the steps are `h` metre high and `b` metre wide, the ball will hit the edge of the `nth` step, if.

A

`n = ( 2hu ^(2))/(gb)`

B

`n = ( hu ^(2))/(gb ^(2))`

C

`n = ( 2 hu )/(gb ^(2))`

D

`n = ( 2hu ^(2))/(gb ^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise EFFICIENT|50 Videos
  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • MOTION IN A STRAIGHT LINE & PLANE

    VMC MODULES ENGLISH|Exercise IMPECCABLE|52 Videos
  • MOCK TEST 9

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos
  • Motion in Straight Line

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

Similar Questions

Explore conceptually related problems

A ball rolls off the top of a staircase with a horizontal velocity u m//s . If the steps are h meter high and b meter wide, the ball will hit the edge of the nth steps, if:

A ball rolls off the top of a staircase with a horizontal velocity u m//s . If the steps are h meter high and b meter wide, the ball will hit the edge of the nth steps, if:

A ball rolls off the top of a staircase with a horizontal velocity u m//s . If the steps are h meter high and b meter wide, the ball will hit the edge of the nth steps, if:

A ball rolls of the top of a stariway with a constant horizontal velocity u. If the steps are h meter high and w meter wide , show that the ball will just hit the edge of n^(th) step if n = (2hu^(2))/(gw^(2)) .

A ball rolls off the top of a stariway with a horizontal velocity magnitude 150 cm/sec. The steps are 20 cm high and 20 cm wide . Which step will the ball hit first ?

A ball rolls of the top fi a strair way with horizonntal velocity of magnitude 1. 8 ms^(-1) . The steps are 0.20 m high and 0.02 m wide , Which step will the ball it first ? ( g = 10 m//s^@) .

A small rolls of the top of a stairway horizontally with a velocity of 4.5 ms^(-1) . Each step is 0.2 m high and 0.3 m wide. If g is 10ms^(-2) , then the ball will strike the nth step where n is equal to (assume ball strike at the edge of the step).

A sphere rolls off the top of a stairway with a horizontal velocity of magnitude 200 cm/sec. The steps are 10 cm high and 10 cm wide. Which step will the ball hit first?(g=10 m//s^2 )

A ball is projected at an angle 30° with the horizontal with the velocity 49 ms^(-1) . The horizontal range is

A stone is thrown horizontally with velocity g ms^(-1) from the top of a tower of height g metre. The velocity with which it hits the ground is (in ms^(-1) )

VMC MODULES ENGLISH-MOTION IN A STRAIGHT LINE & PLANE -ENABLE
  1. A ball rolls off the top of a staircase with a horizontal velocity u m...

    Text Solution

    |

  2. A particles is moving eastwards with a velocity of 5 ms^(-1). In 10 s,...

    Text Solution

    |

  3. A large number of bullets are fired in all directions with same speed ...

    Text Solution

    |

  4. Two particles A and B connected by a rigid rod AB. The rod slides alon...

    Text Solution

    |

  5. A particle is moving in the x-y plane. At certain instant of time, the...

    Text Solution

    |

  6. Four persons K, L, M, N are initially at the four corners of a square ...

    Text Solution

    |

  7. The vertical height of the projectile at the time is given by y=4t-t^(...

    Text Solution

    |

  8. A balloon is going upwards with velocity 12 m//sec it releases a packe...

    Text Solution

    |

  9. The distance moved by a freely falling body (starting from rest) durin...

    Text Solution

    |

  10. A freely falling body takes t second to travel (1//x)^(th) distance th...

    Text Solution

    |

  11. A body is projected with a velocity 60 ms ^(-1) at 30^(@) to horizont...

    Text Solution

    |

  12. A body is projected down from height of 60 m with a velocity 10 ms ^(-...

    Text Solution

    |

  13. A body is projected with velocity u such that in horizontal range and ...

    Text Solution

    |

  14. A stone is projected from the ground with a velocity of 14 ms ^(-1). O...

    Text Solution

    |

  15. A particle is projected from a point A vertically upwards with a speed...

    Text Solution

    |

  16. A stone is projected horizontally with a velocity 9.8 ms ^(-1) from a ...

    Text Solution

    |

  17. There are two values of time for which a projectile is at the same hei...

    Text Solution

    |

  18. A projectile is thrown with a velocity vec v (0) = 3hati + 4 hatj ms ^...

    Text Solution

    |

  19. A body projected horizontally with a velocityv from a height h has a r...

    Text Solution

    |

  20. A body is thrown horizontally from the top of a tower and strikes the ...

    Text Solution

    |