Home
Class 12
PHYSICS
A sphere of radius 0.1m and mass 8 pi ...

A sphere of radius ` 0.1m` and mass `8 pi` `kg` is attached to the lower end of a steel wire of length `5.0 m` and diameter `10^(-3)m`. The wire is suspended from `5.22 m` high ceiling of a room . When the sphere is made to swing as a simple pendulum, it just grazes the floor at its lowest point. Calculate the velocity of the sphere at the lowest position . Young's modulus of steel is `(1.994xx10^(11) N//m^(2))`.

A

`7.7ms^(-1)`

B

`4.4ms^(-1)`

C

`2.2ms^(-1)`

D

`8.8ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 51

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

  • NTA JEE MOCK TEST 53

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A sphere of radius 0.1m and mass 8 pi kg is attached to the lower end of a steel wire of length 5.0 m and diameter 10^(-3) . The wire is suspended from 5.22 m high ceiling of a room . When the sphere is made to swing as a simple pendulum, it just grazes the floor at its lowest point. Calculate the velocity of the sphere at the lowest position . Young's modulus of steel is (1.994xx10^(11) N//m^(2)) .

A sphere of radius 10 cm and mass 25 kg is attached to the lower end of a steel wire of length 5 m and diameter 4 mm which is suspended from the ceiling of a room . The point of support is 521 cm above the floor. When the sphere is set swinging as a simple pendulum, its lowest point just grazes the floor. Calculate the velocity of the ball at its lowest position (Y_(steel) = 2xx10^(11) N//m^(2)) .

A sphere of radius 10 cm and mass 25 kg is attached to the lower end of a steel wire which is suspended from the ceiling of a room. The point of support is 521 cm above the floor. When the sphere is set swimming as a simple pendulum, its lowest point just grazes the floor. Calculate the velocity of the ball at its lowest position.

A sphere of radius 1.4 m weighs 500 kg. The sphere

A sphere of mass m attached with the free end of a steel wire of length l swings in the veritical plane form the horizontal positon. Elongation of the wire in the vericle positon is

A uniform steel wire of length 3.14 m and diameter 2xx10^(-3) m is fixed at its upper end. When a mass of 10 kg is attached to its lower end, the extension of the wire is 1xx10^(-3) m. The Young's modulus of elasticity is,

A sphere of mass m attached with the free end of a steel wire of length l swings in the veritcle plane form the horizontal positon. Elastic energy should in the wire in the vericle positon is

A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is (a) 2.5 (b) 3 (c) 3.5 (d) 4

NTA MOCK TESTS-NTA JEE MOCK TEST 52-PHYSICS
  1. Two long coaxial cylindrical metal tubes (inner radius a, outer radius...

    Text Solution

    |

  2. Using the conservation laws, demonstrate that the total mechanical ene...

    Text Solution

    |

  3. The figure shows a system of two concentric spheres of radii r1 and r2...

    Text Solution

    |

  4. As shown in figure the tension in the horizontal cord is 30 N. The wei...

    Text Solution

    |

  5. Find the decay constant of .^(55)Co radio nuclide if its activity is k...

    Text Solution

    |

  6. The equation of a simple harmonic progressive wave is given by y = A s...

    Text Solution

    |

  7. The potential energy of a particle varies as . U(x) = E0 for 0 le x...

    Text Solution

    |

  8. A sphere of radius 0.1m and mass 8 pi kg is attached to the lower en...

    Text Solution

    |

  9. An observer can see through a pin-hole the top end of a thin rod of he...

    Text Solution

    |

  10. A cubical block of side a is moving with velocity v on a horizontal sm...

    Text Solution

    |

  11. A particular semiconductor in equilibrium has 1xx10^(16)cm^(-3) donor ...

    Text Solution

    |

  12. One mole of monatomic ideal gas undergoes the process ArarrB , as in t...

    Text Solution

    |

  13. If x, v and a denote the displacement, the velocity and the accelerati...

    Text Solution

    |

  14. An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...

    Text Solution

    |

  15. A 0.5kg block slides from the point A on a horizontal track with an in...

    Text Solution

    |

  16. In the circuit shown in the figure (A), R(3) is a variable resistance ...

    Text Solution

    |

  17. A gas mixture consists of 2 moles of oxygen and 4 moles of argon at ...

    Text Solution

    |

  18. A long straight wire carrying current of 30 A is placed in an exte...

    Text Solution

    |

  19. A ball is projected form the ground at an angle of 45^(@) with the hor...

    Text Solution

    |

  20. In a double slit experiment ,the separation between the slits is d=0.2...

    Text Solution

    |