A piston (smooth and free) is placed on free surface of fluid as shown. Find speed of efflux

Absorptive cells on free surface bear

An adiabatic cylindrical chamber with a frictionless movable piston has been placed on a smooth horizontal surface as shown. One mole an ideal monotonic gas is enclosed inside the chamber. Mass of the piston is M and mass of the remaining chamber including the gas is 4 M. The gas is at atmospheric pressure and temperature. A particle of mass M moving horizontally with speed v, strikes the piston elastically. Find the change in temperature of the gas when the compression is maximum.

Tiny free living animals on the surface of water consitute

A liquid is filled in a vessel and a hole is made at a depth h below the free surface of the liquid. Statement-1 : Greater is the distance of the hole form the free surface of liquid, greater will be the velocity of efflux. And Statement-2 The speed of the liquid coming out of the orifice depends on the quantity of liquid in the vessel.

How many free surface are there in a gas?

A ball moving with speed v collides with a horizontal smooth surface at an angle theta with normal to surface as shown in figure. If coefficient of restitution of collision is e, then find v'

A block of mass M is placed on a horizontal smooth table. It is attached to an ideal spring of force constant k as shown. The free end of the spring is pulled at a constant speed u. Find the maximum extension ( x_0 ) in the spring during the subsequent motion.

A liquid of density rho is in a bucket that spins with angular velocity 'omega' as shown in figure. Prove that the free surface of the liquid has a parabolic shape. Find equation of this. .