An ant starts from the top rim of the cylinder section of a pipe and reaches a point directly below its starting point after making three complete revolutions around the pipe. The distance traveled by the ant if the height of the cylinder is 24 cm and radius of the pipe is cm `3/pi` is :

The ant repeats the two steps 7times, going around the polygon until it reaches its starting position. The ant makes a complete revolution(360) to draw this regular 7-sided polygon The value of A, correct to 1decimal place is

A fixed thermally conducting cylinder has a radius R and height L_0 . The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P_0 . The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is rho . In equilibrium, the height H of the water coulmn in the cylinder satisfies

A fixed thermally conducting cylinder has a radius R and height L_0 . The cylinder is open at ita bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P_0 . The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure. The density of the water is rho . In equilibrium, the height H of the water coulmn in the cylinder satisfies

A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

A piston of mass M=3kg and radius R=4cm has a hole into which a thin pipe of radius r=1 cm is inserted the piston can enter a cylinder tightly and without friction an initially it is at the bottom of the cylinder 750 gm of water is now poured into the pipe so that the piston&pipe and lifted up as shown find the height H of water in the cylinder and height h of water in the pipe.

A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis at the rate of 3 rpm. The torque required to stop after 2pi revolutions is :

A solid cylinder of mass 2 kg and radius 4 cm rotating about its axis at the rate of 3 rpm. The torque required to stop after 2pi revolutions is :

A solid cylinder carries current of 1 A uniformly distributed over its cross sectional area. Calculate the magnetic field induction at point P, at a distance of 3 cm from the axis of cylinder, if its radius is 7 cm .

A small point mass m is to be thrown with such a speed at a distance x from the axis of a long cylinder of radius R and density rho , so that m starts revolving around the cylinder in a circular orbit of radius x with centre on the axis of cylinder. Find the speed with which point mass is thrown.