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

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

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PLANE

    DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

  • MOTION IN A PLANE

    DISHA PUBLICATION|Exercise Exercise -2 : CONCEPT APPLICATOR|28 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|24 Videos

  • MOTION IN A STRAIGHT LINE

    DISHA PUBLICATION|Exercise Exercise-2|30 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 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:

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 ?

DISHA PUBLICATION-MOTION IN A PLANE -Exercise -1 : CONCEPT BUILDER (TOPICWISE)
  1. A boy aims a gun at a bird from a point, at a horizontal distance of 1...

    Text Solution

    |

  2. A man standing on the roof of a house of height h throws one particle ...

    Text Solution

    |

  3. Initial velocity with which a body is projected is 10 m/sec and angle...

    Text Solution

    |

  4. A projectile can have same range R for two angles of projection. It t1...

    Text Solution

    |

  5. A ball rolls off top of a staircase with a horizontal velocity u m s^-...

    Text Solution

    |

  6. A water fountain on the ground sprinkles water all around it. If the s...

    Text Solution

    |

  7. A ball projected from ground at an angle of 45^(@) just clears a wall ...

    Text Solution

    |

  8. A boy can throw a stone up to a maximum height of 10 m. The maximum ho...

    Text Solution

    |

  9. A ball thrown down the incline strikes at a point on the incline 25m b...

    Text Solution

    |

  10. An artillary piece which consistently shoots its shells with the same ...

    Text Solution

    |

  11. In uniform circular motion

    Text Solution

    |

  12. A particle moves in a circle of radius 4 cm clockwise at constant spee...

    Text Solution

    |

  13. An aircraft executes a horizontal loop of radius 1 km with a steady sp...

    Text Solution

    |

  14. A particle moving along the circular path with a speed v and its speed...

    Text Solution

    |

  15. A particle P is moving in a circle of radius r with a uniform speed u....

    Text Solution

    |

  16. A particle moves in a circle of radius 25 cm at two revolutions per se...

    Text Solution

    |

  17. A wheel rotates with a constasnt acceleration of 2.0rad/s^2. If the wh...

    Text Solution

    |

  18. A car is moving in a circular path of radius 500m with a speed of 30 m...

    Text Solution

    |

  19. A car runs at a constant speed on a circular track of radius 100m, tak...

    Text Solution

    |

  20. A particle describes uniform circular motion in a circle of radius 2 m...

    Text Solution

    |