Home
Class 11
PHYSICS
A force of 6.4N streches a vertical spri...

A force of `6.4N` streches a vertical spring by `0.1m` The mass that must be supended from the spring so that it oscilation with a time period of `pi//4` second

A

`(pi)/4 kg`

B

`4/(pi) kg`

C

`1 kg`

D

10 kg

Text Solution

Verified by Experts

The correct Answer is:
C

Spring constant `K= (6.4)/(0.1) =64 N//m`
Now `T=2pisqrt(m/k)` or `pi/4 =2pisqrt(m/64) :. M=1 kg `
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A force of 6.4 N stretches a vertical spring by 0.1m. Find the mass that must be suspended from the spring so that it oscillates with a period of pi//4 second.

A force of 6.4 N stretches a vertical spring by 0.1 m. The mass (in kg) that must be suspended from the spring so that it oscillates with a time period of (pi)/(4) second.

If the period of oscillation of mass M suspended from a spring is one second, then the period of 4M will be

The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of pi//10 second. The mass suspended is (neglect the mass of the spring)

A block of mass m hangs from a vertical spring of spring constant k. If it is displaced from its equilibrium position, find the time period of oscillations.

A mass suspended from a spring of spring constant k is made to oscillate with a time period T. Now, the spring is cut into three equal parts and the mass is suspended from one of the parts. What will be the new time period of oscillations?

The period of oscillation of a mass M suspended from a spring of spring constant K is T. the time period of oscillation of combined blocks is

A load of mass M is attached to the bottom of a spring of mass 'M //3' and spring constant 'K'. If the system is set into oscillation, the time period of oscillation is

When a mass of 1 kg is suspended from a spring, it is stretched by 0.4m. A mass of 0.25 kg is suspended from the spring and the spring is allowed to oscillate. If g=10 m//s^(2) , then its period of oscillation will be

RESONANCE-PART TEST 3-Exercise
  1. The figure shown at time t = 0 second, a rectangular and triangular pu...

    Text Solution

    |

  2. A stationary observer receives sound waves from two tuning forks, one ...

    Text Solution

    |

  3. When two mutually perpendicular simple harmonic motions of same freque...

    Text Solution

    |

  4. When two waves of the same amplitude and frequency but having a phase ...

    Text Solution

    |

  5. Four types of oscillatory system a simple pendulum a physical pendulum...

    Text Solution

    |

  6. S(1) and S(2) are two coherent sources of sound of frequency 110Hz eac...

    Text Solution

    |

  7. A transverse wave of amplitude 5 mm and frequency 10Hz is produced on ...

    Text Solution

    |

  8. A composite wire is made by joining two uniform wires. If l1 = l2= l a...

    Text Solution

    |

  9. When the net force F acting on the particle varies as its position al...

    Text Solution

    |

  10. The time period of a particle in simple harmonic motion is T. Assume p...

    Text Solution

    |

  11. m1 & m2 are connected with a light inextensible string with m1 lying...

    Text Solution

    |

  12. A particle is subjected to two simple harmonic motions along x and y d...

    Text Solution

    |

  13. A wire of length l having tension T and radius r vibrates with fundame...

    Text Solution

    |

  14. In a standing transerse wave on a string :

    Text Solution

    |

  15. Which of the following statements is correct:

    Text Solution

    |

  16. The displacement time graph of a particle executing S.H.M. (in straigh...

    Text Solution

    |

  17. The length of the wire shown in the figure between the pulleys is 1.5m...

    Text Solution

    |

  18. A force of 6.4N streches a vertical spring by 0.1m The mass that must ...

    Text Solution

    |

  19. Statement 1: A tuning fork of constant frequency sends sound waves in ...

    Text Solution

    |

  20. Statement 1: Sound waves can not propagate through vacuum but light wa...

    Text Solution

    |