Home
Class 12
PHYSICS
The force constant of an ideal spring is...

The force constant of an ideal spring is 200 newton per meter. It is loaded with a mass of `200//pi^(2)` kg at the lower end the time period of its vibration is

A

`2pi^(2)s`

B

`2 s`

C

`1 s`

D

`pi^(2)s`

Text Solution

Verified by Experts

The correct Answer is:
B
`T=2pisqrt((m)/(k))=2pisqrt((((200)/(pi^(2))))/(200))=2s`
Promotional Banner

Topper's Solved these Questions

  • MHT-CET 2016

    NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|1 Videos

  • QUESTION PAPER - MH-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

The period of oscillation of a mass m suspended by an ideal spring is 2s. If an additional mass of 2 kg be suspended, the time period is increased by 1s. Find the value of m.

Three spring are connected to a mass m(=100g) as shown in figure. Given k=2.5Nm^(-1) . (a) What is the effecitve spring constant of the combination of spring constant of the combination of springs? (b) When mass m oscillates, find time period of its vibration.

A spring of force constant 'k' is cut into four equal parts one part is attached with a mass m. The time period of oscillation will be

A flat spiral spring of force constant K is loaded with mass M and oscillates vertically with a time period T. Then the mass suspended to the free end is

A mass of 0.1 kg hangs at the end of a spring. When a mass of 0.01 kg more is added at the end of the spring, it stretches by 5 cm more. When the extra 0.01 kg mass is removed, determine the time period of vibration of the system.

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

Two blocks of masses 3kg and 6kg respectivley are placed on a smooth horizontal surface. They are connected by a light spring of force constant k=200N//m . Initially the spring is unstretched. The indicated velocities are imparted to the blocks. Find the maximum extension of the spring.

A mass m performs oscillations of period T when hanged by spring of force constant K . If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be

Two blocks are connected by a spring of natural length 2 m. The force constant of spring is 200 N/m. Find spring force in following situations : A is kept at rest and B is displaced by 1 m in right direction.

NIKITA PUBLICATION-OSCILLATIONS -MCQ
  1. A spring of force constant k is cut into four equal parts. The force c...

    Text Solution

    |

  2. When a mass m is attached to a spring, it normally extends by 0.2 m . ...

    Text Solution

    |

  3. The force constant of an ideal spring is 200 newton per meter. It is l...

    Text Solution

    |

  4. A loaded spring vibrates with a period T. The spring is divided into f...

    Text Solution

    |

  5. Springs of spring constants k, 2k, 4k, 8k, …… are connected in series....

    Text Solution

    |

  6. A spring having a spring constant k is loaded with a mass m. The sprin...

    Text Solution

    |

  7. A spring has a force constant k and a mass m is suspended from it the ...

    Text Solution

    |

  8. A loaded vertical spring executes simple harmonic oscillations with pe...

    Text Solution

    |

  9. When a body is suspended from two light springs separately, the period...

    Text Solution

    |

  10. A mass is suspended separately by two springs of spring constants k(1)...

    Text Solution

    |

  11. Two particles P and Q describe S.H.M. of same amplitue 'A' and frequen...

    Text Solution

    |

  12. The time periods for vertical harmonic oscillations of the three syste...

    Text Solution

    |

  13. Two spring of each force constant k is connected in series and paralle...

    Text Solution

    |

  14. Two springs of equal lengths and equal cross sectional area are made o...

    Text Solution

    |

  15. A mass on the end of a spring undergoes simple harmonic motion with a ...

    Text Solution

    |

  16. A spring is stretched by 0.20 m , when a mass of 0.50 kg is suspended....

    Text Solution

    |

  17. If a watch with a wound spring is taken on to the moon, it

    Text Solution

    |

  18. The graph between period of oscillation (T) and mass attached (m) to a...

    Text Solution

    |

  19. If a graph is plotted for the square of period (T^(2)) and mass attach...

    Text Solution

    |

  20. A body of mass 1 kg suspended by a light vertical spring of spring con...

    Text Solution

    |