Home
Class 11
PHYSICS
A small ball is pushed from a height h a...

A small ball is pushed from a height h along a smooth hemispherical bowl of rodius R. With what speed should the ball be pushed so that it just reaches the top of the opposite end of the bowl?

A

`sqrt(2gh)`

B

`sqrt(2g(R+h))`

C

`sqrt(2g(R-h))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`h'=R-hthereforev_(min)=sqrt(2gh')rArrv_(min)=sqrt(2g(R-h))`
Promotional Banner

Topper's Solved these Questions

  • CIRCULAR MOTION

    DC PANDEY|Exercise Match the columns|3 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Medical entrances s gallery|19 Videos

  • CIRCULAR MOTION

    DC PANDEY|Exercise Check point|45 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY|Exercise Level 2 Subjective|21 Videos

  • COMMUNICATION SYSTEM

    DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A small ball of radius r rolls without sliding in a big hemispherical bowl. of radius R. what would be the ratio of the translational and rotaional kinetic energies at the bottom of the bowl.

A ball of mass m is released from rest from a height H along a smooth, light and fixed tube having a semicircular portion so that the ball just reaches the top of the semicircle. a. Find the radius of the semi-circle. b. Find the maximum force imparted by the ball on the ground.

A ball is relased from the top of a building 180m high. It takes time t to reach the ground With what speed should it be projected down so that it reaches the ground time (51)/(6) .

A small ball is placed at the top of a smooth hemispherical wedge of radius R. If the wedge is accelerated with an acceleration a, find the velocity of the ball relative to wedge as a function of theta .

A small block is placed on the top of a smooth inverted hemispherical bowl of radius R. (a) The bowl is given a sudden impulse so that it begins moving horizontally with speed V. Find minimum value of V so that the block immediately loses contact with the bowl as it begins to move. (b) The bowl is given a constant acceleration ‘a’ in horizontal direction. Find maximum value of ‘a’ so that the block does not lose contact with the bowl by the time it rotates through an angle theta=1^(@) relative to the bowl. You can make suitable mathematical approximations justified for small value of angle theta .

A small block of mass m is released from rest from position A inside a smooth hemispherical bowl of radius R as shown in figure Choose the wrong option.

A small block of mass m is released from rest from position A inside a smooth hemispherical bowl of radius R as shown in figure. Choose the wrong option (s)

A small ball is rolled with speed u from piont A along a smooth circular track as shown in figure. If x=3R , then Determine the required speed u so that the ball returns to A, the point of projection after passing through C, the highest point.

From the top to a tower 100 m in height a ball is dropped and at the same instant another ball is projeced veticall y upwards from the ground so that it just reaches the top of tower. At what height do the two balls pass one another ?

A circular disc of radius 'R' is placed co-axially and horizontally inside and opaque hemispherical bowl of radius 'a', Fig. The far edge of the disc is just visible when viewed from the edge of the bowl. The bowl is filled with transparent liquid of refractive index mu and the near edge of the dise becomes just visible. How far below the top of the bowl is the disc placed ? .

DC PANDEY-CIRCULAR MOTION-Taking it together
  1. The string of a pendulum is horizontal. The mass of the bob is m. Now ...

    Text Solution

    |

  2. A body is moving in a vertical circle of radius r such that the string...

    Text Solution

    |

  3. A small ball is pushed from a height h along a smooth hemispherical bo...

    Text Solution

    |

  4. A 50 kg girl is swinging on a swing from rest. Then, the power deliver...

    Text Solution

    |

  5. A simple pendulum of length l has a maximum angular displacement theta...

    Text Solution

    |

  6. Toy cart tied to the end of an unstretched string of length a, when re...

    Text Solution

    |

  7. A spere is suspended by a thread of length l. What minimum horizontal ...

    Text Solution

    |

  8. A cyclist starts from the centre O of a circular park of radius 1km, r...

    Text Solution

    |

  9. Three particles A, B and C move in a circle of radius r=(1)/(pi)m, in ...

    Text Solution

    |

  10. Two particles A and B start at the origin O and travel in opposite dir...

    Text Solution

    |

  11. A student whirls a stone in a horizontal circle of radius 3 m and at h...

    Text Solution

    |

  12. A stone is tied to a string of length l and is whirled in a vertical c...

    Text Solution

    |

  13. A ball suspended by a thread swings in a vertical plane so that its ac...

    Text Solution

    |

  14. A body of mass m hangs at one end of a string of lenth l, the other en...

    Text Solution

    |

  15. A simple pendulum oscillates in a vertical plane. When it passes throu...

    Text Solution

    |

  16. A stone of mass 1 kg tied to a light inextensible string of lenth L=(...

    Text Solution

    |

  17. A string of length l fixed at one end carries a mass m at the other e...

    Text Solution

    |

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

    Text Solution

    |

  19. A wet open umbrella is held verticle and whirled about the handle at a...

    Text Solution

    |

  20. A heavy particle is tied to the end A of a string of the length1.6 m. ...

    Text Solution

    |