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qUESTIONS

12th-MH

A steel ball with radius 0.3 mm is falling with velocity of 2 m/s at a time t, through a tube filled with glycerin, having coefficient of viscosity 0.833 Ns / (m ^ 2) . Determine viscous force acting on the steel ball at that time.

12th-MH

A capillary tube of radius 5 * 10 ^ – 4 m is immersed in a beaker filled with mercury. The mercury level inside the tube is found to be 8 * 10 ^ – 3 below the level of reservoir. Determine the angle of contact between mercury and glass. Surface tension of mercury is 0.465 N/m and its density is 13.6 * 10 ^ 3 * kg / (m ^ 3) . (g = 9.8m / (s ^ 2)

12th-MH

What should be the diameter of a water drop so that the excess pressure inside it is 80 N/m2? (Surface tension of water = 7.27 × 10-2 N/m)

12th-MH

Calculate the work done in blowing a soap bubble to a radius of 1 cm. The surface tension of soap solution is 2.5 × 10-2 N/m.

12th-MH

A beaker of radius 10 cm is filled with water. Calculate the force of surface tension on any diametrical line on its surface. Surface tension of water is 0.075 N/m.

12th-MH

A hydraulic brake system of a car of mass 1000 kg having speed of 50 km/h, has a cylindrical piston of radius of 0.5 cm. The slave cylinder has a radius of 2.5 cm. If a constant force of 100 N is applied on the brake what distance the car will travel before coming to stop?

12th-MH

A swimmer is swimming in a swimming pool at 6 m below the surface of the water. Calculate the pressure on the swimmer due to water above. (Density of water = 1000 kg/m3, g = 9.8 m/s2)

12th-MH

Two different liquids of density ρ1 and ρ2 exert the same pressure at a certain point. What will be the ratio of the heights of the respective liquid columns?

1.Rotational Dynamics

Starting from rest, an object rolls down along an incline that rises by 3 in every 5 (along it). The object gains a speed of 10 m/s as it travels a distance of 53 m along the incline. What can be the possible shape/s of the object?

1.Rotational Dynamics

A flywheel used to prepare earthenware pots is set into rotation at 100 rpm. It is in the form of a disc of mass 10 kg and radius 0.4 m. A lump of clay (to be taken equivalent to a particle) of mass 1.6 kg falls on it and adheres to it at a certain distance x from the centre. Calculate x if the wheel now rotates at 80 rpm.

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