A U- tube contains water and methlated spirit separated by mercury . The mercury columns in the two arms are in level with 10.0 cm of spirit in the other. What is the specific grvity of spirit ?

In the previous problem , if 15.0 cm of water and spirit each are further poured into the respective arms of the tube , what is the difference in the levels of mercury in the two arms ? (Specific gravity of mercury =13.6)

An open U-tube contains mercury. When 11.2 cm of water is poured into one of the arms of the tube, how high does the mercury rise in the other arm from its initial level ?

The arms of a U shaped tube are vertical. The arm on right side is closed and other arm is closed by light movable piston. There is mercury in the tube and initially the level of the mercury in the arms is the same. Above the mercury, there is an air column of height h in each arm, and initial pressure is the same as atmospheric pressure in both arms. Now pistion is slowly pushed down by a distance of h//2 (see figure) Let x is the displacement of mercury level in one of the stem and P_(1) is pressure in left column of air after compression, P_(2) is pressure in right column of air after compression and P_(0) is atmospheric pressure then

Two vertical cylinders are connected by a small tube at the bottom. It contains a gas at constant temperature . Initially the pistons are located at the same height. The diameters of the two cylinders are different . Outside the cylinder the space is vaccum . Gravitational acceleration is h , h_(0) = 20cm , m_(1) = 2kg "and" m_(2) =1kg . The pistons are initially in equilibrium. If the masses of the piston are interchanged find the separation between the two pistons when they are again in equilibrium. Assume constant temperature .

Two narrow bores of diameters 3.0 mm and 6.0mm are joined together to form a U- tube open at both ends . If the U- tube contains water , what is the difference in its levels in the two limbs of the tube ? Surface tension of water at the temperature of the experiment is 7.3xx10^(-2)Nm^(-1) . Take the angle of contact to be zero and density of water to be 1.0xx10^(3)kgm^(-3)(g=9.8ms^(-2)) .

A U-tube of uniform cross section (see figure) is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by 2cm. If the specific gravity of liquid I is 1.1, the specific gravity of liquid II must be

An eye can distinguish between two points of an object if they are separated by more than 0.22 mm when the object is placed at 25 cm from the eye. The object is now seen by a compound microscope having a 20 D objective and 10 D eyepiece separated by a distance of 20 cm. The final image is formed at 25 cm from the eye. What is the minimum separation between two points of the object which can now be distinguished?

A thin tube of uniform cross-section is sealed at both ends. It lies horizontally, the middle 5 cm containing mercury and the two equal end containing air at the same pressure P. When the tube is held at an angle of 60^@ with the vetical direction, the length of the air column above and below the mercury column are 46 cm and 44.5 cm respectively. Calculate the pressure P in centimeters of mercury. (The temperature of the system is kept at 30^@C ).

Two glass bulbs of equal volume are connected by a narrow tube and are filled with a gas at 0^@C and a pressure of 76cm of mercury. One of the bulbs is then placed in melting ice and the other is placed in a water bath maintained at 62^@C . What is the new value of the pressure inside the bulbs? The volume of the connecting tube is negligible.

Two narrow bores of diameters 3.00mm and 6.0mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is 7.3 times 10^-2 N m^-1 .Take the angle of contact to be zero and density to water to be 1.0 times 10^3 kg m^-3