Home
Class 12
PHYSICS
An SHM is give by y=5["sin"(3pit)+sqrt(3...

An SHM is give by `y=5["sin"(3pit)+sqrt(3)"cos"(3pit)]`. What is the amplitude of the motion of y in metre ?

A

`100 cm`

B

`5 cm`

C

`200 cm`

D

`1000 cm`

Text Solution

Verified by Experts

The correct Answer is:
D
`y = 10 ((1)/(2)sin3pit + sqrt(3)/(2)cos3pit) = 10 sin (3pit + (pi)/(3))`
thus amplitude is `10 m` or `1000 cm`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - I|26 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - II|1 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 1, PART - I|25 Videos

  • SEMICONDUCTORS

    RESONANCE ENGLISH|Exercise Exercise 3|88 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PHYSICS|784 Videos

Similar Questions

Explore conceptually related problems

What is the amplitude of y = 3-6 sin^(2)x ?

A simple harmonic motion is represented by : y=5(sin3pit+sqrt(3)cos3pit)cm The amplitude and time period of the motion by :

If two S.H.M.'s are represented by equation y_(1) = 10 "sin" [3pit+(pi)/(4)] and y_(2) = 5[sin(3pit)+sqrt(3)cos(3pit)] then find the ratio of their amplitudes and phase difference in between them.

Two SHW are represented by the equations x_1 = 20 sin [5pit +pi/4] and x_2 = 10 (sin5pit+sqrt(3) cos 5 pit] . The ratio of the amplitudes of the two motions is

The position of S.H.M. is given by x=2[√3sin πt +cos πt]. The amplitude of motion is [ x is in metre and symbols have the usual meaning]

Two simple harmonic motions are represented by the equations y_(1) = 10 sin(3pit + pi//4) and y_(2) = 5(sin 3pit + sqrt(3)cos 3pit) their amplitude are in the ratio of ………… .

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

The equation of displacement of two waves are given as y_(1) = 10 sin( 3 pi t + (pi)/(3)) , y_(2) = 5 [ sin 3 pi t + sqrt(3) cos 3 pi t] Then what is the ratio of their amplitudes

A rope, under tension of 200N and fixed at both ends, oscialltes in a second harmonic standing wave pattern. The displacement of the rope is given by y=(0.10)sin ((pix)/(3)) sin (12 pit) , where x=0 at one end of the rope, x is in metres and t is in seconds. Find the length of the rope in metres.

RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 1, PART - II
  1. An SHM is give by y=5["sin"(3pit)+sqrt(3)"cos"(3pit)]. What is the amp...

    Text Solution

    |

  2. According to a scientists, he applied a force F = -cx^(1//3) on a part...

    Text Solution

    |

  3. The time period of a particle in simple harmonic motion is equal to th...

    Text Solution

    |

  4. The tiem period of a particle in simple harmonic motion is equal to th...

    Text Solution

    |

  5. If overset(vec)(F) is force vector, overset(vec)(v) is velocity , over...

    Text Solution

    |

  6. Two SHM's are represented by y = a sin (omegat - kx) and y = b cos (om...

    Text Solution

    |

  7. How long after the beginning of motion is the displacement of a oscill...

    Text Solution

    |

  8. A particle moves on y-axis according to the equation y = 3A +B sin ome...

    Text Solution

    |

  9. Two particle execute simple harmonic motions of same amplitude and fre...

    Text Solution

    |

  10. A mass M is performing linear simple harmonic motion. Then correct gra...

    Text Solution

    |

  11. A body executing SHM passes through its equilibrium. At this instant, ...

    Text Solution

    |

  12. KE and PE of a particle executing SHM with amplitude A will be equal ...

    Text Solution

    |

  13. A particle of mass 0.1 kg is executing SHM of amplitude 0.1 m . When t...

    Text Solution

    |

  14. For a particle performing SHM

    Text Solution

    |

  15. Acceleration versus time graph of a body in SHM is given by a curve sh...

    Text Solution

    |

  16. A particle performs SHM of amplitude A along a straight line. When it ...

    Text Solution

    |

  17. Two springs, of spring constants k(1) and K(2), have equal highest vel...

    Text Solution

    |

  18. A toy car of mass m is having two similar rubber ribbons attached to i...

    Text Solution

    |

  19. A mass of 1 kg attached to the bottom of a spring has a certain freque...

    Text Solution

    |

  20. A ball of mass 2kg hanging from a spring oscillates with a time period...

    Text Solution

    |

  21. A smooth inclined plane having angle of inclination 30^(@) with horizo...

    Text Solution

    |