A piston of `796 mm` diameter and `200 mm` long works in a cylinder of `800 mm` diameter as shown in figure. If the annlar spece is flled with a lubicating oil of viscosity `5` centipolses, calculate the constant speed (nearest to integer) of descent of piston in vertical position. The weight of piston and the axial load are `9.8 N`.

A piston of 796 mm diameter and 200 mm long works in a cylinder of 800 mm diameter as shown in figure. If the annular space is filled with a lubricating oil of viscosity 5 centipoises, calculate the constant speed (nearest to integer) of descent of piston in vertical position. The weight of piston and the axial load are 9.8 N .

A syringe of diameter D = 8 mm and having a nozzie of diameter d = 2 mm is placed horizontally at a height of 1.25 m as shown in the figure . An incompressible and non - viscous liquid is filled in syringe and the piston is moved at speed of 0.25 m/s .Find the range of liquid jet on the ground.

A syringe of diameter D = 8 mm and having a nozzie of diameter d = 2 mm is placed horizontally at a height of 1.25 m as shown in the figure . An incompressible and non - viscous liquid is filled in syringe and the piston is moved at speed of 0.25 m/s .Find the range of liquid jet on the ground.

(i) A conducting cylinder whose inside diameter is 4.00cm contains air compressed by a piston of mass m = 13.0 kg , which can slides freely in the cylinder shown in the figure. The entire arrangement is immersed in a water bath whose temperature can be controlled. The syetem is initially in equilibrium at temperature t_(1) = 20^(@)C . The initial height of the piston above the bottom of the cylinder is h_(i) = 4.00 cm. P_(atm) =1 xx 10^(5) N/m^(2) and g = 10m//s^(2) . If the temperature of the water bath is gradually increased to a final temperature t_(f) = 100^(@)C . Find teh height h_(f) of the piston (in cm) at that instant? (ii) In the above question, if we again start from the initial conditions and the temperature is again gradually raised, and weights are added to the piston to keep its height fixed at h_(i) . Find the value of teh added mass when the final temperature becomes t_(f) = 100^(@)C ?

The hydraulic press shown in the figure is used to raise the mass M through a height of 5.0 mm by performing 500 J of work at the small piston. The diameter of the large piston is 10 cm while that of the smaller one is 2 cm. The mass M is

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

2.00 mole of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston. The piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is 300K at its natural length. the atmosphere pressure is 100 kPa. the gas is heated slowly for some time by means of an electric heater so as to move the position up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.

2.00 mol of a monatomic ideal gas (U=1.5nRT) is enclosed in an adiabatic, fixed , vertical cylinder fitted with a smooth, light adiabatic piston.the piston is connected to a vertical spring of spring constant 200 N m^(-1) as shown in .the area of cross section of the cylinder is 20.0 cm^(2) . initially, the spring is at its natural length and the temperature of the gas is at its natural length and the temperature of the gas is 300 K. the atmosphere pressure is 100 kPa. the gas is heated sloewly for some time by means of an electric heater so as to move the poston up through 10 cm. find (a) the work done by the gas (b) the final temperature of the gas and (c ) the heat supplied by the heater.