Home
Class 12
PHYSICS
The amplitude of damped oscillator becom...

The amplitude of damped oscillator becomes `1/3` in `2s`. Its amplitude after `6s` is `1//n` times the original. The value of `n` is

A

`3^(2)`

B

`3 sqrt(2)`

C

`3 sqrt(3)`

D

`3^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
We have, `A = A_(0) e^(bt//2m)`
In this case, after 6 s amplitude becomes `(1)/(27)` times.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|49 Videos

  • OSCILLATIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|29 Videos

  • OSCILLATIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|29 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQs|42 Videos

  • PRACTICE SET 01

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 1 (PHYSICS & CHEMISTRY)|50 Videos

Similar Questions

Explore conceptually related problems

The amplitude of damped oscillator becomes half in one minute. The amplitude after 3 minutes will be 1//x times the original, where x is

The amplitude of a damped oscillator becomes half in one minutes. The amplitude after 3 minutes will be 1/x times of the original . Determine the value of x.

The amplitude (A) of damped oscillator becomes half in 5 minutes. The amplitude after next 10 minutes will be

The amplitude of a damped oscillator becomes (1)/(27)^(th) of its initial value after 6 minutes. Its amplitude after 2 minutes is

The amplitude of damped oscillator decreased to 0.9 times its original magnitude is 5s . In another 10s it will decrease to alpha times its original magnitude, where alpha equals.

The amplitude of a damped oscillation decreases to 0.8 times its original magnitude in 4s. In another 12s, it will decrease to n time its original magnitude. Find the value of n.

When a dampled harmonic oscillator completes 100 oscillations, its amplitude is reduced to (1)/(3) of its initial value. When will be its amplitude when it completes 200 oscillations?

Amplitude of a swing decreases to 0.5 times its original magnitude in 4s due to damping by air friction. Its amplitude becomes how many times of the original magnitude in another 8s?

If initial amplitude during a damped oscillation of mass m is 12 cm and after 2s it reduces to 6cm then find damping constant(b)

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-OSCILLATIONS-EXERCISE 1
  1. If the length of second's pendulum is decreased by 2%, how many second...

    Text Solution

    |

  2. Two simple pendulum of length 5m and 20m respectively are given small ...

    Text Solution

    |

  3. A and B are fixed points and the mass M is tied by strings at A and B....

    Text Solution

    |

  4. Two simple pendulum first of bob mass M(1) and length L(1) second of b...

    Text Solution

    |

  5. The mass and diameter of a planet are twice those of earth. What will ...

    Text Solution

    |

  6. A clock pendulum made of invar has a period of 0.5sec at 20^(@)C. If t...

    Text Solution

    |

  7. The time period of a simple pendulum in a stationary train is T. The t...

    Text Solution

    |

  8. In case of a simple pendulum, time period versus length is depicted by

    Text Solution

    |

  9. A simple spring has length l and force constant K. It is cut into two ...

    Text Solution

    |

  10. A particle of mass 200 g executes a simpel harmonit motion. The resrto...

    Text Solution

    |

  11. A massless spring, having force constant k, oscillates with frequency ...

    Text Solution

    |

  12. An object suspended from a spring exhibits oscillations of period T. N...

    Text Solution

    |

  13. If k(s) and k(p), respectively are effective spring constants in serie...

    Text Solution

    |

  14. If f is the frequency when mass m is attached to a spring of spring co...

    Text Solution

    |

  15. Frequency of oscillation is proportional to

    Text Solution

    |

  16. In the figure, S(1) and S(2) are identical springs. The oscillation fr...

    Text Solution

    |

  17. A clock S is based on oscillations of a spring and clock P is based on...

    Text Solution

    |

  18. In case of a forced vibration, the resonance wave becomes very sharp w...

    Text Solution

    |

  19. The amplitude of damped oscillator becomes 1/3 in 2s. Its amplitude af...

    Text Solution

    |

  20. If the differential equation given by (d^(2)y)/(dt^(2))+2k(dy)/(dt)+om...

    Text Solution

    |