Home
Class 11
PHYSICS
A toy cart is tied to the end of an unst...

A toy cart is tied to the end of an unstretched string of length 'l'. When revolved, the toy cart moves in horizontal circle with radius `2l` and time period T. If it is speeded until it moves in horizontal circle of radius '3l' with period `T_1`, relation between T and `T_1`is (Hooke's law is obeyed)

A

`T_1=2/sqrt3 T`

B

`t_1=sqrt(3)/2 T`

C

`T_1=sqrt(3) T`

D

`t_1=sqrt(3/2) T`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MEASUREMENTS

    TARGET PUBLICATION|Exercise EVALUATION TEST|17 Videos

  • OPTICS

    TARGET PUBLICATION|Exercise EXERCISE|447 Videos

Similar Questions

Explore conceptually related problems

Toy cart tied to the end of an unstretched string of length a, when revolved moves in a horizontal circle of radius 2a with a time period T. Now the toy cart is speeded up until it moves in a horizontal circle of radius 3a with a period T. If Hooke's law (F=kx) holds, then

An object of mass M is tied to a string of length l and revolved in a horizontal circle. If length is reduced by l//2 , then period is

A particle of mass 'm' is suspended from a ceiling through a string of length'L'. If the particle moves in a horizontal circle of radius 'r', then the speed of the particle is

A sphere of mass m is tied to end of a string of length l and rotated through the other end along a horizontal circular path with speed v . The work done in full horizontal circle is

A stone of mass1/2kg iswhirled round the end of a piece of string in a horizontal circle of radius half a meter with a uniform speed of 1 m//s . The tension in the string is

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break, if the tension is more than 25 N. What is the maximum speed with which the ball can be moved ?

In a conical pendulam, when the bob moves in a horizontal circle of radius r with uniform speed v, the string of length L describes a cone of semivertical angle theta . The tension in the string is given by

A planet is revolving around the sun in a circular orbit with a radius r. The time period is T .If the force between the planet and star is proportional to r^(-3//2) then the quare of time period is proportional to

A particles moves with a uniform speed v and time period T in a circular path of radius r. If the speed of the particle is doubled, its new time periods is

A body of mass 1 kg tied to one end of string is revolved in a horizontal circle of radius 0.1 m with a speed of 3 "revolution"//sec , assuming the effect of gravity is negligible, then linear velocity, acceleration and tension in the string will be

TARGET PUBLICATION-Motion in a plane-Exercise
  1. One end of string of length l is connected to a particle of mass 'm' a...

    Text Solution

    |

  2. A particle of mass m is executing uniform circular motion on a path of...

    Text Solution

    |

  3. A toy cart is tied to the end of an unstretched string of length 'l'. ...

    Text Solution

    |

  4. A body at rest starts sliding from top of a smooth inclined plane and ...

    Text Solution

    |

  5. A wheel of circumference C is at rest on the ground. When the wheel ro...

    Text Solution

    |

  6. Two stones are thrown up simultaneously from the edge of a clir 240 m ...

    Text Solution

    |

  7. A body starting from rest at t=0 moves along a straight line with a co...

    Text Solution

    |

  8. Two particles are simultaneously projected in the horizontal direction...

    Text Solution

    |

  9. A stone is dropped from the top of a tower of height 45 m. One second ...

    Text Solution

    |

  10. A particle of unit mass undergoes one-dimensional motion such that its...

    Text Solution

    |

  11. Two balls are thrown horizontally in opposite directions from the same...

    Text Solution

    |

  12. A projectile has some range R when the maximum height attained by it i...

    Text Solution

    |

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

    Text Solution

    |

  14. The ceiling of a tunnel is 5 m high. What is the maximum horizontal di...

    Text Solution

    |

  15. A small particle of mass mis projected at an angle theta with the x-ax...

    Text Solution

    |

  16. A projectile is fired from the surface of the earth with a velocity of...

    Text Solution

    |

  17. From a tower of height H, a particle is thrown vertically upwards with...

    Text Solution

    |

  18. The relation between linear speed v, angular speed omega and angular a...

    Text Solution

    |

  19. If K.E of the particle of mass m performing U.C.M in a circle of radi...

    Text Solution

    |

  20. A particle at rest is moved along a straight line by a machine giving ...

    Text Solution

    |