Home
Class 12
PHYSICS
A smooth circular table is surrounded by...

A smooth circular table is surrounded by a rim whose interior is vertical . A ball is projected along the table from a point on the rim in a direction making an angle `theta` to the radius through the point and returns to the point of projection after two impacts . If e be the coefficient of restitution, then

A

`tan theta = sqrt(((e^(3))/( 1+ e + e^(2))))`

B

`tan theta sqrt((e^(2))/( 1+ e))`

C

`tan theta = sqrt((1)/( e ))`

D

`tan theta = e `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    FIITJEE|Exercise SECTION (II) : (SUBJECTIVE )|33 Videos
  • KINEMATICS

    FIITJEE|Exercise SECTION(II) : MCQ ( SINGLE CORRECT)|47 Videos
  • KINEMATICS

    FIITJEE|Exercise NUMERICAL BASED QUESTIONS|3 Videos
  • HEAT AND TEMPERATURE

    FIITJEE|Exercise NUMERICAL BASES QUESTIONS|1 Videos
  • LAWS OF MOTION

    FIITJEE|Exercise COMPREHENSION-III|2 Videos

Similar Questions

Explore conceptually related problems

A cylindrical hall has a horizontal smooth floor. A ball is projected along the floor from A point on the wall in a direction making an angle theta with the radius through the point the ball returns bak to the initial point after two impacts with the wall. if the coefficient of restitution is e than tan^(2)theta will be

A ball of mass m is projected from the ground with an initial velocity u making an angle of theta with the vertical. What is the change in velocity between the point of projection and the highest point ?

A ball is projected from the ground with speed u at an angle alpha with horizontal. It collides with a wall at a distance a from the point of projection and returns to its original position. Find the coefficient of restitution between the ball and the wall.

A paricle is projected up from the bottom of an inlined plane of inclination alpha with velocity v_0 If it returns to the points of projection after an elastic impact with the plane, find the total time of motion of the particle.

A particle is projected directly along a rough plane of inclination theta with velocity u. If after coming to the rest the particle returns to the starting point with velocity v, the coefficient of friction between the partice and the plane is

A ball is projected from a point in a horizontal plane so as to strike a vertical wall at right angle A .after rebounding from the wall it strikes the horizontal plane once and returns to the point of projection just before second collision at horizontal surface. Find co-efficient of restitution for the two collisions, assuming it to be same for both the collision.

A ball is projected in a direction inclined to the vertical and bounces on a smooth horizontal plane. The range of one rebound is R . If the coefficient of restitution is e , then range of the next rebound is

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.

FIITJEE-KINEMATICS-SECTION(I): MCQ (SINGLE CORRECT)
  1. A trolley was moving horizontally on a smooth ground with velocity v w...

    Text Solution

    |

  2. In Fig. there are two sliders and they can slide on two frictionless ...

    Text Solution

    |

  3. A smooth circular table is surrounded by a rim whose interior is verti...

    Text Solution

    |

  4. A balloon of mass M with a light rope having monkey on the rope is in ...

    Text Solution

    |

  5. A bowler tbrows a ball horizontally along east direction with speed of...

    Text Solution

    |

  6. A solid spherical ball of radius R collides with a rough horizontal s...

    Text Solution

    |

  7. A smooth hoop lie as on a smooth horizontal table and is fixed. A part...

    Text Solution

    |

  8. A ball is projected from the ground with speed u at an angle alpha wit...

    Text Solution

    |

  9. Three particles A, B and C of equal masses, moving with the same speed...

    Text Solution

    |

  10. Two particles are projected simultaneously in the same vertical plane ...

    Text Solution

    |

  11. Let vec( a) (1) and vec( a) (2) are the acceleration of wedges A and B...

    Text Solution

    |

  12. A pendulum of mass m hangs from a support fixed to a trolley which is ...

    Text Solution

    |

  13. Let A, B, C, D be points on a vertical line such that AB = BC = CD. If...

    Text Solution

    |

  14. A man runs along a straight road. Naturally he leans a little in the f...

    Text Solution

    |

  15. A cat runs along a straight line with constant velocity of magnitude v...

    Text Solution

    |

  16. A rod of length l forming an angle theta with the horizontal strikes a...

    Text Solution

    |

  17. A projectile is fired at an angle of 30^(@) to the horizontal such tha...

    Text Solution

    |

  18. The magnitude of radius vector of a point varies with time as r = beta...

    Text Solution

    |

  19. In one dimensional motin, a 1 kg body experiences a force, which is li...

    Text Solution

    |

  20. A uniform square plate ABCD has mass M side length a. It is sliding o...

    Text Solution

    |