Home
Class 12
PHYSICS
A particle executes a simple harmonic mo...

A particle executes a simple harmonic motion of amplitude 1.0 cm along the principal axis of a convex lens of focal length 12 cm. The mean position of oscillation is at 20 cm from the lens. Find the amplitude of oscillation of the image of the particle.

Text Solution

Verified by Experts

The correct Answer is:
B, C



When particle at A
`1/v_A=1/f+1/u`
`=1/12-1/19`
`rarr v_A(12xx19)/7`
Similarly `v_B=(12xx12)/9`
Amplitude of image =(v_A-v_B)/2`
`=4.5/2=2.2cm`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm"/"s . The frequency of its oscillation is……….

The particle executes simple harmonic motion have periodic time 0.05s and amplitude 4 cm, then what its maximum velocity?

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in second is…….

A particle executes simple harmonic with an amplitude of 5 cm. When the particle is at 4 cm from the mean position the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is

A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilinrium to the end is.

A particle executes simple harmonic motion with a period of 16s . At time t=2s , the particle crosses the mean position while at t=4s , its velocity is 4ms^-1 amplitude of motion in metre is

An object 25 cm high is placed in front of a convex lens of focal length 30 cm . If the height of image formed is 50 cm , find the distance between the object and the image (real and virtual)?

As shown in figure, a plano-convex lens of focal length 20 cm is silvered at its plane surface and it is made reflecting, then find new focal length of system.

A particle executes simple harmonic motion with an angular velocity and maximum acceleration of 3.5(rad)/(sec)" and "7.5(m)/(s^2) respectively. Amplitude of the oscillation is…………..

A particle executes simple harmonic motion according to equation 4(d^(2)x)/(dt^(2))+320x=0 . Its time period of oscillation is :-

HC VERMA-GEOMETRICAL OPTICS-Exercises
  1. A convex lens has a focal length of 10 cm. Find the location and natur...

    Text Solution

    |

  2. A slide projector has to project a 35 mm slide (35 mm xx 23 mm) on a 2...

    Text Solution

    |

  3. A particle executes a simple harmonic motion of amplitude 1.0 cm along...

    Text Solution

    |

  4. An extended object is placed at a distance of 5.0 cm from a convex len...

    Text Solution

    |

  5. A pin of length 2.00 cm is placed perpendicular to the principal axis ...

    Text Solution

    |

  6. A convex lens produces a double size real image when an object is plac...

    Text Solution

    |

  7. A pin of length 2.0 cm lies along the principal axis of a converging l...

    Text Solution

    |

  8. The diameter of the sun is 1.4 x 10^9 m and its distance from the eart...

    Text Solution

    |

  9. A 5.0 diopter lens forms a virtual image which is 4 times the object p...

    Text Solution

    |

  10. A diverging lens of focal length 12 cm and a converging mirror of foca...

    Text Solution

    |

  11. A converging lens of focal length 12 cm and a diverging mirror of foca...

    Text Solution

    |

  12. A converging lens and a diverging mirror are placed at a separation of...

    Text Solution

    |

  13. A converging lens of focal length 15 cm and a converging mirror of foc...

    Text Solution

    |

  14. Consider the situation described in the previous problem. Where should...

    Text Solution

    |

  15. A converging lens of focal length 15 cm and a converging mirror of foc...

    Text Solution

    |

  16. A point object is placed on the principal axis of a convex lens (f = 1...

    Text Solution

    |

  17. A convex lens of focal length 20 cm and a concave lens of focal length...

    Text Solution

    |

  18. A diverging lens of focal length 20 cm and a converging lens of focal ...

    Text Solution

    |

  19. A 5 mm high pin is placed at a distance of 15 cm from a convex lens of...

    Text Solution

    |

  20. A point object is placed at a distance of 15 cm from a convex lens. Th...

    Text Solution

    |