Home
Class 11
PHYSICS
A vertical U-tube contains liquid of uni...

A vertical U-tube contains liquid of uniform density upto a height of 3 cm. If the liquid in one arm is depressed and then released, it performs S.H.M. in the tube. Calculate its time period of oscillations.
Assume U-tube to be of uniform cross section.
Take, g = 980 `cm//s^(2)`

Text Solution

Verified by Experts

Here, h = 3 cm, g = 980 `cm//s^(2)`
`therefore` Time period of S.H.M.
`T = 2pisqrt((h)/(g)) = 2pisqrt((3)/(980))`
` = 2 xx 3.14 xx 0.055 -~ 0.35` s
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS|15 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS 2|20 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

Similar Questions

Explore conceptually related problems

A uniform U-tube contains a very slightly mobile liquid to a height of 50 cm in each limb. If the liquid in one lime is depressed and then released, find the period of oscialltion of the liquid in the tube.

A vertical U-tube of uniform cross-section contains water upto a height of 2.45 cm. show that if the water on one side is decpressed and then released, its up and down motion in the tube is SHM and calculate its time period. Given g=980cms^(-2) .

A vertical U-tube of uniform cross-section contains water upto a height of 30 cm. show that if the water in one limb is depressed and then released, its up and down motion in the two limbs of the tube is simple harmonic and calculate its time-period.

A vertical U tube of uniform cross-section contains water up to a heigth of 0.5m . If water on one side is depressed a little and then released its motino up and down the two sides of the tube is SHM. Calculate (i) time period (ii) angular grequency of vibration. g=10ms^(2) .

A vertical U-tube has one of the its arms bent at theta from the vertical and then filled with a liquid of density rho up to a height h in the vertical arm. Calculate the period of oscillations of the liquid when disturbed a little and released.

A U - tube of uniform cross section contains mercury upto a height h in either limb. The mercury in one limbe is depressed a little and then relased. Obtain an expression for time period (T) of oscillation, assuming that T depends on h, rho and g, where rho is density of mercury.

STATEMENT-1 : The height of a liquid column in a U -tube is 0.3 m . If the liquid in one of the limbs is depressed, and then released, the time period of liquid column will be 1.1 sec . STATEMENT-2 : this follows from the relation. T = 2pisqrt(h)/(g)

A vertical U-tube contains a liquid of density rho and surface tension T. if the radius of the meniscus of liquid in the limbs of the U-tube are R_(1) and R_(2) find the difference in the liquid column in the limbs.