Home
Class 12
PHYSICS
A particle is executing SHM along a stra...

A particle is executing SHM along a straight line. Its velocities at distances `x_(1)` and `x_(2)` from the mean position are `v_(1)` and `v_(2)`, respectively. Its time period is

A

`T=2pi sqrt((x_(2)^(2)-x_(1)^(2))/(v_(1)^(2)+v_(2)^(2)))`

B

`T=2pi sqrt((x_(2)^(2)-x_(1)^(2))/(v_(1)^(2)-v_(2)^(2)))`

C

`T=2pi sqrt((x_(2)^(2)+x_(1)^(2))/(v_(1)^(2)+v_(2)^(2)))`

D

`T=2pi sqrt((x_(2)^(2)+x_(1)^(2))/(v_(1)^(2)-v_(2)^(2)))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Physics Section A |39 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Physics Section B|20 Videos

  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION - B) |20 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS|246 Videos

  • JEE MAINS 2022

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS (SECTION -B)|10 Videos

Similar Questions

Explore conceptually related problems

A particle is performing harmonic motion if its velocity are v_(1) and v_(2) at the displecement from the mean position are y_(1) and y_(2) respectively then its time period is

A particle is executing S.H.M. If u_(1) and u_(2) are the velocitiesof the particle at distances x_(1) and x_(2) from the mean position respectively, then

A particle is vibrating in SHM. If its velocities are v_1 and v_2 when the displacements from the mean postion are y_1 and y_2 , respectively, then its time period is

A particle is moving in a st. line with SHM. Its velocity has the values 3 ms^(-1) and 2ms^(-1) when its distance from the mean positions are 1 m and 2 m respectively find the period of its motion and length of its path.

A particle executing linear S.H.M. has velocities v_(1) and v_(2) at distances x_(1) and x_(2) respectively from the mean position. The angular velocity of the particle is

A particle executing linear SHM has velocities v_(1) " and " v_(2) at dis"tan"ce x_(1) " and " x_(2) , respectively from the mean position. The angular velocity of the particle is

A particle executing SHM along a straight line has a velocity of 4ms^(-1) , and at a distance of 3m from its mean position and 3ms^(-1) , when at a distance of 4m from it. Find the time it take to travel 2.5m from the positive extremity of its oscillation.

Find the angular frequency and the amplitude of harmonic oscillations of a particle if at distances x_(1) and x_(2) from the equalibrium position its velocity equald v_(1) and v_(2) respectively.

Knowledge Check

  • A particle is performing harmonic motion if its velocity are v_(1) and v_(2) at the displecement from the mean position are y_(1) and y_(2) respectively then its time period is

    A
    ` 2pi sqrt((y_(1)^(2) + y_(2)^(2))/(v_(1)^(2) + v_(2)^(2)))`
    B
    ` 2pi sqrt((v_(2)^(2) - v_(2)^(2))/(y_(1)^(2) - y_(2)^(2)))`
    C
    ` 2pi sqrt((y_(1)^(2) - y_(2)^(2))/(v_(2)^(2) + v_(1)^(2)))`
    D
    ` 2pi sqrt((v_(1)^(2) + v_(2)^(2))/(y_(1)^(2) + y_(2)^(2)))`

  • A particle is executing S.H.M. If u_(1) and u_(2) are the velocitiesof the particle at distances x_(1) and x_(2) from the mean position respectively, then

    A
    `T=2pi sqrt((x_(1)+x_(2))/(u_(1)+u_(2)))`
    B
    `T=2pi sqrt((x_(2)^(2)+x_(1)^(2))/(u_(1)^(2)+u_(2)^(2)))`
    C
    `omega= sqrt((u_(2)^(2) - u_(1)^(2))/(x_(1)^(2) - x_(2)^(2))`
    D
    `2pi sqrt((u_(1)x_(2))/(u_(2)x_(1)))`

  • A particle is vibrating in SHM. If its velocities are v_1 and v_2 when the displacements from the mean postion are y_1 and y_2 , respectively, then its time period is

    A
    `2pisqrt((y_1^2+y_2^2)/(v_1^2+v_2^2))`
    B
    `2pisqrt((v_1^2+v_2^2)/(y_1^2+y_2^2))`
    C
    `2pisqrt((v_1^2-v_2^2)/(y_1^2-y_2^2))`
    D
    `2pisqrt((y_1^2-y_2^2)/(v_1^2-v_2^2))`
    • JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-PHYSICS
    1. A particle is executing SHM along a straight line. Its velocities at d...

      Text Solution

      |

    2. A system of binary stars of mass m(A) and m(B) are moving in circular ...

      Text Solution

      |

    3. In an electromagnetic wave the electric field vector and magnetic fiel...

      Text Solution

      |

    4. If the kinetic energy of a moving body becomes four times its initial ...

      Text Solution

      |

    5. The length of a metal wire is l(1) when the tension in it is T(1) and ...

      Text Solution

      |

    6. For a series LCR circuit with R=100Omega , L=0.5 mH and C = 0.1 pF con...

      Text Solution

      |

    7. A satellite is launched into a circular orbit of radius 'R' around ear...

      Text Solution

      |

    8. Two small drops of mercury, each of radius R, coalesce to form a singl...

      Text Solution

      |

    9. A body at rest is moved along a horizontal straight line by a machine ...

      Text Solution

      |

    10. Electrons with de-Broglie wavelength lambda fall on the target in an X...

      Text Solution

      |

    11. At an angle of 30^(@) to the magnetic meridian, the apparent dip is 4...

      Text Solution

      |

    12. For a certain radioactive process the graph between In R and t(sec) is...

      Text Solution

      |

    13. A boy reaches the airport and finds that the escalator is not working....

      Text Solution

      |

    14. A body rolls down an inclined plane without slipping. The kinetic ener...

      Text Solution

      |

    15. The magnetic susceptibility of a rod is 499. The absolute permeability...

      Text Solution

      |

    16. The correct relation between the degrees of freedom f and the ratio of...

      Text Solution

      |

    17. With what speed should a galaxy move outward, with respect to earth so...

      Text Solution

      |

    18. Which of the following graphs represent the behavior of an ideal gas? ...

      Text Solution

      |

    19. If time (t), velocity (v), and angular momentum (l) are taken as the f...

      Text Solution

      |

    20. The vectors vecP and vecQ have equal magnitudes of vecP +vecQ is n ti...

      Text Solution

      |