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)

Two narrow bores of diameters 3.0 mm and 6.0 mm 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 7.3xx 10^-2 N m^-1 '. Take the angle of contact to be zero and density of water to be 1.0xx 10^3 kg m^- 3 ( g = 9.8 m s^-2 ) .

A U-tube contains water and methylated spirit separated by mercury. The mercury columns in the two arms are in level with 10.0 cm of water in one arm and 12.5 cm of spirit in the other. What is the specific gravity of spirit ?

Mercury has an angle of contact equal to 140^@ with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside ? Surface tension of mercury at the temperature of the experiment is 0.465 N m^-1 . Density of mercury = 13.6xx 10^3 kg m^-3 .

Glycerine flows steadily through a horizontal tube of length 1.5 m and radius 1.0 cm. If the amount of glycerine collected per second at one end is 4.0xx 10^-3 kg s^-1 , what is the pressure difference between the two ends of the tube ? (Density of glycerine = 1.3xx 10^3 kg m^-3 and viscosity of glycerine = 0.83 Pa s). [You may also like to check if the assumption of laminar flow in the tube is correct].

A manometer reads the pressure of a gasin an enclosure asshown in Fig. 10.25 (a) When a pump removes some of the gas, the manometer reads as in Fig. 10.25 (b) The liquid used in the manometersis mercury and the atmospheric pressure is 76 cm of mercury.How would the levels change in case (b) if 13.6 cm of water (immiscible with mercury) are poured into the right limb of the manometer ? (Ignore the small change in the volume of the gas).:

Water is running into a conical vessel, 15 cm deep and 5 cm in radius, at the rate of 0.1 cm^2 /sec . When the water is 6 cm deep, find at what rate is the water level rising?

The bottom of a container is a 4.0 cm thick glass (mu=1.5) slab. The container contains two immiscible liquids A and B of depths 6.0 and 8.0 cm respectively. What is the apparent position of a scratch on the outer surface on the bottom of the glass slab, when viewed through the container? Refractive indices of A and B are 1.4 and 1.3 respectively.

Figure 8.6 shows a capacitor made of two circular plates each of radius 12 cm, and separated by 5.0 cm. The capacitor is being charged by an external source (not shown in the figure). The charging current is constant and equal to 0.15A. Calculate the capacitance and the rate of change of potential difference between the plates. :

Two straight wires A and B of lenghts 10 m and 12 m carrying currents of 4.0 A and 6.0 A respectivity in opposite directions lie parallel to each other at a distance of 3.0 cm. Estimate the force on a 15cm section of the wire B near its centre.