Home
Class 12
PHYSICS
When an oscillator completes 100 oscilla...

When an oscillator completes `100` oscillations its amplitude reduced to `(1)/(3)` of initial values. What will be amplitude, when it completes `200` oscillations :

A

`1/8`

B

`2/3`

C

`1/6`

D

`1/9`

Text Solution

Verified by Experts

The correct Answer is:
D
For damped oscillation amplitude A= `A_0e^(-bt)`
`A_0/3=A_0 e^(-b(100T)) rArr e^(-100 bT)=1/3` at t=200 T, `A=A_0e^(-b(200T))=A_(0)(e^(-100bt))^(2)`
`rArr A=A_n(1/3)^2 =A_0/9`
Promotional Banner

Topper's Solved these Questions

  • NEET

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise PHYSICS|157 Videos

  • NEET

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise QUESTION|95 Videos

  • MOTION IN TWO AND THREE DIMENSION

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise All Questions|47 Videos

  • NEET 2020

    NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)|Exercise All Questions|45 Videos

Similar Questions

Explore conceptually related problems

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?

The time taken to complete 100 oscillations is ______ s.

In damped oscillations, the amplitude is reduced to one-third of its initial value a_(0) at the end of 100 oscillations. When the oscillator completes 200 oscillations ,its amplitude must be

In dampled oscillation , the amplitude of oscillation is reduced to half of its initial value of 5 cm at the end of 25 osciallations. What will be its amplitude when the oscillator completes 50 oscillations ? Hint : A= A_(0) e^((-bt)/(2m)) , let T be the time period of oxcillation Case -I : (A_(0))/(2) = A_(0)e^(-bx(25T)/(2m)) or (1)/(2)= e^(-25(bT)/(2m)) ......(i) Case -II A=A_(0)e^(-bxx50(T)/(2m)) A _(0)(e^(-25(bT)/(2m)))^(2) Use euation (i) to find a .

In dampled oscillations, the amplitude of oscillatinos is reduced to one-fourth of its initial value 10cm at the end of 50 oscillations. What will be its amplitude when the oscillator completes 150 oscillations ?

In dampled oscillations, the amplitude of oscillation is reduced to one-third of its initial value of 9cm at the end of 100 oscillations. What will be its amplitude of oscillation in cm when it completes 200 oscillations.

When a particle in linear S.H.M. completes two oscillations, its phase increases by

At resonance, the amplitude of forced oscillations is

In a damped harmonic oscillator, periodic oscillations have ………. amplitude.

NEET PREVIOUS YEAR (YEARWISE + CHAPTERWISE)-NEET-MCQ
  1. When an oscillator completes 100 oscillations its amplitude reduced to...

    Text Solution

    |

  2. The damping force on an oscillator is directly proportional to the vel...

    Text Solution

    |

  3. The motion of a particle along a straight line is described by equatio...

    Text Solution

    |

  4. The horizontal range and the maximum height of a projectile are equal....

    Text Solution

    |

  5. A particle has initial velocity (2 vec(i)+3 vec(j)) and acceleration (...

    Text Solution

    |

  6. A car of mass 1000kg negotiates a banked curve of radius 90m on a fict...

    Text Solution

    |

  7. A solid cylinder of mass 3 kg is rolling on a horizontal surface with ...

    Text Solution

    |

  8. The potential energy of a particle in a force field is: U = (A)/(r^(...

    Text Solution

    |

  9. Two sphere A and B of masses m(1) and m(2) respectivelly colides. A is...

    Text Solution

    |

  10. Two persons of masses 55 kg and 65 kg respectively are at the opposite...

    Text Solution

    |

  11. ABC is an equilateral triangle with O as its centre vec(F(1)),vec(F(2)...

    Text Solution

    |

  12. When a mass is rotating in a plane about a fixed point, its angular mo...

    Text Solution

    |

  13. A spherical planet far out in space has a mass M(0) and diameter D(0)....

    Text Solution

    |

  14. A geostationary satellite is orbiting the earth at a height of 5R abov...

    Text Solution

    |

  15. The height a which the weight of a body becomes 1//16th its weight on ...

    Text Solution

    |

  16. Two sources of sound placed close to each other are wmitting progressi...

    Text Solution

    |

  17. When a string is divided into three segments of length l1,l2 and l3 th...

    Text Solution

    |

  18. One mole of an ideal gas goes from an initial state A to final state B...

    Text Solution

    |

  19. A thermodynamics system is taken trough the cycle ABCD as shown in fig...

    Text Solution

    |

  20. Liquid oxygen at 50 K is heated to 300 K at constant pressure of 1 atm...

    Text Solution

    |

  21. If the radius of a star is R and it acts as a black body, what would b...

    Text Solution

    |