Home
Class 12
PHYSICS
A solid sphere of radius R is floating i...

A solid sphere of radius `R` is floating in a liquid of density `sigma` with half of its volume submerged. If the sphere is slightly pushed and released , it starts axecuting simple harmonic motion. Find the frequency of these oscillations.

Text Solution

Verified by Experts

The correct Answer is:
8
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 2, PART - II|1 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 2, PART - III|12 Videos
  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 1, PART - II|37 Videos
  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise 3|88 Videos
  • TEST PAPERS

    RESONANCE|Exercise FST-3|30 Videos

Similar Questions

Explore conceptually related problems

A solid sphere of density sigma with one -third of tis volume submerged . When the sphere is pressed down slightly and released , it executes S.H.M of time period T. Then (viscous effect is ignored)

A pendulum of mass m and length L is connected to a spring as shown in figure. If the bob is displaced slightly from its mean position and released, it performs simple harmonic motion. The angular frequency of the oscillation of bob is

A solid sphere of mass M and Radius R is attached to a massless spring of force constant k as shown in the figure. The cylinder is pulled towards right slightly and released so that it executes simple harmonic motion of time period. If the cylinder rolls on the horizontal surface without slipping, calculate its time period of oscillation.

A uniform solid bar of wood floats vertically in water with 10 cm of its height immersed in the water. When it is slightly depressed and released, it oscillates with a frequency of

A wooden cube (density of wood 'd' ) of side 'l' flotes in a liquid of density 'rho' with its upper and lower surfaces horizonta. If the cube is pushed slightly down and released, it performs simple harmonic motion of period 'T' . Then, 'T' is equal to :-

A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic montion angular frequency omega . If the radius of the bottle is 2.5 cm then omega is close to: (density of water = 10^(3) kg//m^(3) )

A wooden cylinder of length L is partly submerged in a liquid of specific gravity rho_(1) with n^(th) (nlt1) part of it inside the liquid. Another immiscible liquid of density rho_(2) is poured to completely submerge the cylinder. Density of cylinder rho is the geometric mean of the densities of the two liquid. When the cylinder is slightly depressed and released, it oscillates. let there be a mean position. find the time period of small oscillations below thee mean position

A solid cube of side a and density rho_(0) floats on the surface of a liquid of density rho . If the cube is slightly pushed downward, then it oscillates simple harmonically with a period of

A sphere of radius R and density rho_1 is dropped in a liquid of density sigma . Its terminal velocity is v_1 . If another sphere of radius R and density rho_2 is dropped in the same liquid, its terminal velocity will be:

RESONANCE-SIMPLE HARMONIC MOTION -Exercise- 2, PART - I
  1. The bob of a simple pendulum of length L is released at time t = 0 fro...

    Text Solution

    |

  2. The period of small oscillations of a simple pendulum of length l if i...

    Text Solution

    |

  3. A simple pendulum , a physical pendulum, a torsional pendulum and a sp...

    Text Solution

    |

  4. A rod of mass M and length L is hinged at its one end and carries a pa...

    Text Solution

    |

  5. A particle moves along the X-axis according to the equation x = 10 sin...

    Text Solution

    |

  6. The amplitide of a particle due to superposition of following S.H.Ms. ...

    Text Solution

    |

  7. Two particles P and Q describe S.H.M. of same amplitude a, same freque...

    Text Solution

    |

  8. A street car moves rectilinearly from station A (here car stops) to th...

    Text Solution

    |

  9. A particle is oscillating in a stright line about a centre of force O,...

    Text Solution

    |

  10. Assuming all the surfaces to be smoth, if the time period of motion of...

    Text Solution

    |

  11. A particle of mass m is attached with three springs A,B and C of equal...

    Text Solution

    |

  12. In the figure shown mass 2m is at rest and in equilibrium. A particle ...

    Text Solution

    |

  13. For given spring mass system, if the time period of small oscillations...

    Text Solution

    |

  14. For the arrangement shown in figure, the spring is initially compresse...

    Text Solution

    |

  15. A 1kg block is eecuting simpe hrmonic motion of ampliltude 0.1 m m on ...

    Text Solution

    |

  16. The period of oscillation of a simple pendulum of length L suspended f...

    Text Solution

    |

  17. Figure shown the kinetic energy K of a pendulum versus. its angle thet...

    Text Solution

    |

  18. The bob of a simple pendulum executm simple harmonic motion in water w...

    Text Solution

    |

  19. A solid sphere of radius R is floating in a liquid of density sigma wi...

    Text Solution

    |

  20. If the angular frequency of small oscillations of a thin uniform verti...

    Text Solution

    |