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.

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 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 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 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)

A vertical uniform U tube open at both ends contains mercury. Water is poured in one limb until the level of mercury is depressed 2cm in that limb. What is the length of water column when this happens.

An open U -tube of uniform cross-section contains mercury. When 27.2 cm of water is poured into one limb of the tube, (a) how high does the mercury rise in the limb from its initial level ? (b) what is the difference in levels of liquids of the two sides ? ( rho_(w) =1 and rho_(Hg) =13. 6 units)

A U tube of uniform square cross-sectional side a has mercury in it. Current I is passed between sealed electrodes x and y. A magnetic field B is applied across horizontal section perpendicular to the plane of diagram. The difference in mercury levels is [Given: rho = density of mercury] .