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Motion of an oscillating liquid column i...

Motion of an oscillating liquid column in a U-tube is :

A

1. periodic but not simple harmonic

B

2. non periodic

C

3. simple harmonic and time period is independent of the density of the liquid

D

4. simple harmonic and time period depends on the density of the liquid

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Which of the following examples examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion? (a) The rotation of earth about its axis. (b) Motion of an oscillating mercury column in a U tube, (c) Motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most position. (d) General vibrations of a polyatomic molecule about its equilibrium position.

A U-tube of uniform cross-section holds 1 kg of pure mercury and 0.2 kg of water in equilibrium. The diameter of cross-section is 1.2 cm. Relative density of mercury is 13.6. If the system in equilibrium is slightly disturbed, the period of oscillation of the liquid column in the tube will be (take g=10ms^(-2) )

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)

Find the expressions for time period and frequency (i) in the oscillations of a liquid in a U tube (ii) in the oscillations of a floating cylinder

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The formula for height of a liquid column (h) in a capillary tube is

A vertical U-tube contains a liquid. The total length of the liquid column inside the tibe is 1 . When the liquid is in equilibrium, the liquid surface in one of the arms of the U-tube is pushed down slightly and released. The entire liquid column will undergo a periodic motion.

A liquid of mass m set into oscillations in a U-tube of cross section A. Its time period recorded is T, where T = 2pisqrt((l)/(2g)) , here l is the length of liquid column. If the liquid of same mass is set into oscillaions in U-tube of cross section (A)/(16) then determine time period of oscillation.

STATEMENT-1 : Time period of the liquid executing S.H.M.in a U-tube depends on the area of cross section of U-tube. and STATEMENT-2 : The restoring force acting on liquid displaced from equilibrium position of U -tube depends on the difference in levels of liquid in the two limbs of U -tube.

A capillary tube when immersed vertically in a liquid records a rise of 6 cm . If the tube is immersed inclined 30^@ with the vertical , then length of liquid column along the tube will be

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