Home
Class 12
PHYSICS
A ball rolls off top of a stair case wit...

A ball rolls off top of a stair case with horizontal velocity `u (m)/(s)` if the steps are h meter high and b meter wide, the ball will just hit the edge of `n^(th)` step. Then value of n is:

A

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

B

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

C

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

D

`(hu^(2))/(3gb^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

By using equation of trajector
`(nh)=(g(nb)^(2))/(2u^(2))=n=(2hu^(2))/(gb^(2))`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise PT-01|30 Videos

  • TEST PAPERS

    RESONANCE|Exercise Pt-02|30 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART - II PHYSICS|107 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Advanced Level Problems|13 Videos

  • TEST SERIES

    RESONANCE|Exercise PHYSICS|127 Videos

Similar Questions

Explore conceptually related problems

A ball rolls off top of a staircase with a horizontal velocity u m s^-1 . If the steps are h metre high and b mere wide, the ball will just hit the edge of n th step. Find the value of n .

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:

Velocity at a general point P(x, y) for a horizontal projectile motion is given by v=sqrt((v_("x")^(2)+v_("y")"^(2))),tan alpha=(v_(y))/(v_(x)) alpha is angle made by v with horizontal in clockwise direction Trajectory equation for a horizontal projectile motion is given by x=v_(x)t=ut y=- (1//2)"gt"^(2) eliminating t, we get y=-(1//2)(gx^(2))/(u^(2) A ball rolls off top of a stair way with a horizontal velocity u m//s. If the steps are h m high and b meters wide, the ball will just hit the edge of nth step if n^(th) equals to

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

A ball rolls off the top of a stairway with a horizontal velocity u . If the height and width of steps are b and h respectively and the ball hits the edge of n^(th) step, then n is equal to

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 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 ball rolls from the edge of the top step of a stair case with horizontal speed 5ms^(-1) .Each step is of 2m high and 1m width.The ball hits nth step then 'n' is (g=10m/s^(2))

A ball is projected horizontally with a velocity of 5ms^(-1) from the top fo a building 19.6 m high. How long will th ball take to hit the ground ?

RESONANCE-TEST PAPERS-Physics
  1. in given circuit initially both capacitors were uncharged. Amount of t...

    Text Solution

    |

  2. A body dropped from the top of tower covers a distance 9 x in the last...

    Text Solution

    |

  3. A ball rolls off top of a stair case with horizontal velocity u (m)/(s...

    Text Solution

    |

  4. A small sphere is projected with velocity 5(m)/(s) in a direction 37^(...

    Text Solution

    |

  5. A boat starting from rest aims perpendicular to the river with an acce...

    Text Solution

    |

  6. Two uniform solid cylinders A and B each of mass 1 kg are connected by...

    Text Solution

    |

  7. Find minimum mu between the block so that both blocks move with same a...

    Text Solution

    |

  8. A block of mass m is pulled slowly by a minimum constant force on a ro...

    Text Solution

    |

  9. A small part of dl length is removed from a ring having charge per uni...

    Text Solution

    |

  10. A force of 6.4 N stretches a vertical spring by 0.1 m. The mass (in kg...

    Text Solution

    |

  11. Current P through a certain non-metallic rod is given as i(0)=0.2V^((3...

    Text Solution

    |

  12. An electron is projected as shown with speed u. If electron just fails...

    Text Solution

    |

  13. A battery of EMF 1.4 V and internal resistance 2Omega is connected to ...

    Text Solution

    |

  14. A ray of light in air is incident at angle of incident 30^(@) on one s...

    Text Solution

    |

  15. Two equal sphere A and b lie on a smooth horizontal circle groove at o...

    Text Solution

    |

  16. A stone is let to fall from a balloon ascending with acceleration 4(m)...

    Text Solution

    |

  17. A particle is performing sinple harmonic motion of period 2 sec. if th...

    Text Solution

    |

  18. A wedge B of mass 2 m is placed on a rough horizontal suface. The coef...

    Text Solution

    |

  19. We have a fixed conductor having a cavity inside. There is a point cha...

    Text Solution

    |

  20. We have a fixed conductor having a cavity inside. There is a point cha...

    Text Solution

    |