Home
Class 11
PHYSICS
A body executes SHM has its velocity 10c...

A body executes `SHM` has its velocity `10cm//s` and `7cm//s` when its displacements from mean positions are `3cm` and `4cm` respectively. The length of path is nearly

A

10 cm

B

9.5 cm

C

4 cm

D

11.36 cm

Text Solution

Verified by Experts

The correct Answer is:
B
`A = sqrt((V_(1)^(2) y_(2)^(2) - V_(2)^(2) y_(1)^(2))/(V_(1)^(2) - V_(2)^(2)))=sqrt((1600 - 49 xx 9)/(100 - 49))~~ 4.7 rArr` length of path `= 2A, 2 xx 4.7 rArr 9.5` (nearly)
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - I (H.W)|66 Videos

  • OSCILLATIONS

    NARAYNA|Exercise EXERCISE - II (C.W)|27 Videos

  • OSCILLATIONS

    NARAYNA|Exercise C. U . Q|75 Videos

  • NEWTONS LAWS OF MOTION

    NARAYNA|Exercise PASSAGE TYPE QUESTION|6 Videos

  • PHYSICAL WORLD

    NARAYNA|Exercise C.U.Q|10 Videos

Similar Questions

Explore conceptually related problems

A body executing S.H.M . has its velocity 10cm//s and 7 cm//s when its displacement from the mean positions are 3 cm and 4 cm respectively. Calculate the length of the path.

A boby excuting SHM has its velocity its 10 cm//see and7 cm//see when its displacement from themean positionare 3 cm and 4 cm , respectively. Calculate the length of the path.

A particle in linear SHM has speeds 4 cm/s and 3 cm/s when its displacements from the mean position are 3 cm and 4 cm , respectively. Find its period of oscillation.

The velocities of a body executing S.H.M. are 3 cm/s and 4 cm/s when the displacements from the mean position are 4 cm and 3 cm, then the period of oscillation is

A particle executing SHM has a velocity of 2 ms^(-1) when its displacement from mean position is 1 cm and a velocity of 1 ms^(-1) when its displacement is 2 cm. Its amplitude of oscillationis

A particle performing S.H.M. has velocities of 8 cm/s and 6 cm/s at displacements of 3 cm and 4 cm respectively. Calculate the amplitude and period of S.H.M.

A body is executing S.H.M. when its displacement from the mean position is 4 cm and 5 cm, the corresponding velocity of the body is 10 cm/sec and 8 cm/sec. Then the time period of the body is

A particle executes SHM on a line 8 cm long . Its KE and PE will be equal when its distance from the mean position is

A body of mass 5g is executing SHM with amplitude 10cm , its velocity is 100cm//s . Its velocity will be 50cm//s at a displacement from the mean position equal to

A body executing linear simple harmonic motion has a velocity of 3 cm/s when its displacement is 4 cm and a velocity of 4 cm/s when its displacement is 3 cm. Then amplitude of oscillation with be

NARAYNA-OSCILLATIONS-EXERCISE - I (C.W)
  1. A particle is moving in a circel of radius R = 1m with constant speed ...

    Text Solution

    |

  2. A particle performing SHM having amplitude 'a' possesses velocity ((3)...

    Text Solution

    |

  3. A body executes SHM has its velocity 10cm//s and 7cm//s when its displ...

    Text Solution

    |

  4. A body is executing simple harmonic motion with an angular frequency s...

    Text Solution

    |

  5. The instantaneous displacement of a simple pendulum oscillator is give...

    Text Solution

    |

  6. Two particles P and Q start from origin and execute simple harmonic mo...

    Text Solution

    |

  7. The length of a pendulum changes from 1m to 1.21m. The percentage chan...

    Text Solution

    |

  8. A seconds pendulum is suspended from the roof of a lift. If the lift i...

    Text Solution

    |

  9. The bob of a simple pendulum of mass 100g is oscillating with a time p...

    Text Solution

    |

  10. Three simple pendulums have length of strings 49cms, 48 cms and 47 cms...

    Text Solution

    |

  11. The period of a simple pendulum is found to increases by 50% when the ...

    Text Solution

    |

  12. In a spring block system if length of the spring is increased by 4%, t...

    Text Solution

    |

  13. A spring of natural length 80cm with a load has a length of 100cm. If ...

    Text Solution

    |

  14. A spring of force constant k is cut into two equal parts, and mass 'm'...

    Text Solution

    |

  15. A spring of force constant k is cut into two parts whose lengths are i...

    Text Solution

    |

  16. A mass M is suspended from a spring of negligible mass. The spring is ...

    Text Solution

    |

  17. Two masses m(1)and m(2) are suspended from a spring of spring constant...

    Text Solution

    |

  18. When a body of mass 1.0 kg is suspended from a certain light spring ha...

    Text Solution

    |

  19. A spring of spring constant 200N//m has a block of mass 1kg hanging at...

    Text Solution

    |

  20. A spring balance has a scale that reads 0 to 20kg. The length of the s...

    Text Solution

    |