Home
Class 12
PHYSICS
A liquid drop of density rho , radius r,...

A liquid drop of density `rho` , radius `r`, and surface tension `sigma` oscillates with time period `T` . Which of the following expressions for `T^(2)` is correct?

A

`rho r^2//sigma`

B

`rho sigma//r^3`

C

`r^3 sigma//rho`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE EXERCISE|45 Videos

  • UNITS AND MEASUREMENT

    AAKASH SERIES|Exercise EXERCISE - I|156 Videos

  • SEMICONDUCTOR DEVICES

    AAKASH SERIES|Exercise EXERCISE - III|3 Videos

  • UNITS AND MEASUREMENTS

    AAKASH SERIES|Exercise EXERCISE -3|66 Videos

Similar Questions

Explore conceptually related problems

A spherical liquid drop is placed on a horizontal plane . A small distrubance cause the volume of the drop to oscillate . The time period oscillation (T) of the liquid drop depends on radius (r) of the drop , density (rho) and surface tension tension (S) of the liquid. Which amount the following will be be a possible expression for T (where k is a dimensionless constant)?

The time period of oscillation T of a small drop of liquid under surface tension depends upon the density rho , the radius r and surface tension sigma . Using dimensional analysis show that T prop sqrt((rhor^(3))/(sigma))

Frequency is the function of density (rho) , length (a) and surface tension (T) . Then its value is

A liquid of density rho and surface tension sigma rises in a capillary tube of diameter d. Angle of contact between the tube and liquid is zero. The weight of the liquid in the capillary tube is:

A liquid of density rho and surface tension sigma rises in a capillary tube of diameter d . Angle of contact between the tube and liquid is zero. In the above problem, the increase in gravitational potential energy of the liquid due to rise in the capillary is :

If the time period t of the oscillation of a drop of liquid of density d, radius r, vibrating under surface tension s is given by the formula t=sqrt(r^(2b)s^(c)d^(a//2)) . It is observed that the time period is directly proportional to sqrt((d)/(s)) . The value of b should therefore be :

Time period of an oscillating drop of radius r, density rho and surface tension T is t=ksqrt((rhor^5)/T) . Check the correctness of the relation

A needle of length l and density rho will float on a liquid of surface tension sigma if its radius r is less than or equal to:

A sphere of radius r is dropped in a liquid from its surface. Which of the following graphs is/are correct?

Calculate the pressure inside a small air bubble of radus r situated at a depth h below the free surface of liquids of densities rho_(1) and rho_(2) and surface tennsions T_(1) and T_(2) . The thickness of the first and second liquids are h_(1) and h_(2) respectively. Take atmosphere pressure =P_(0) .

AAKASH SERIES-UNITS AND MEASUREMENT-EXERCISE - II
  1. If velocity, force and acceleration are taken as fundamental quantitie...

    Text Solution

    |

  2. The critical angular velocity w of a cylinder inside another cylinder ...

    Text Solution

    |

  3. A liquid drop of density rho , radius r, and surface tension sigma osc...

    Text Solution

    |

  4. The volume of a liquid (V) flowing per second through a cylindrical tu...

    Text Solution

    |

  5. The characteristic distance at which quantum gravitational effect are ...

    Text Solution

    |

  6. The dimensions of resistivity in terms of M, L, T and Q, where Q stand...

    Text Solution

    |

  7. The distance travelled by a particle in n^(th) second is Sn =u+a/2 (2n...

    Text Solution

    |

  8. The position of a particle at time t is given by the equation x(t) = V...

    Text Solution

    |

  9. If J is the angular momentum and E is the kinetic energy, then (J^2)/E...

    Text Solution

    |

  10. If L is the inductance, C is the capacitance and R is the resistance, ...

    Text Solution

    |

  11. If h is Planck's constant and lambda is the wave length,h/(lambda) has...

    Text Solution

    |

  12. Which of the following combinations of three different physical quanti...

    Text Solution

    |

  13. Which of the following is wheat fruit?

    Text Solution

    |

  14. A quantity X is given by epsi(0)L(DeltaV)/(DeltaT) where epsi(0) is th...

    Text Solution

    |

  15. The radius of a sphere is measured as (10 +- 0.02%) cm. The error in ...

    Text Solution

    |

  16. If length and breadth of a plane are (40 + 0.2) and (30 +- 0.1) cm, th...

    Text Solution

    |

  17. When 10 observation are taken the random error is x when 100 observati...

    Text Solution

    |

  18. The diameter of a wire as measured by a screw gauge was found to be 1....

    Text Solution

    |

  19. Two uniform solid spheres of equal radii R, but mass M and 4 M have a ...

    Text Solution

    |

  20. The error in the measurement of the length of a simple pendulum is 0.1...

    Text Solution

    |