A large cylinder of helium filled at 1000 pascal had a thin orifice through which helium escaped into an evacuated space at the rate of 6.4 m mol/h. How long would it take for 10 m mol `SO_(2)` to leak through a similar orific if the `SO_(2)` were confined at the same pressure ?

A large cylinder of helium filled at 2000 mm of Hg had a small orifice through which helium escaped into evacuated space at the rate of 6.4 moles/hour. How long would it take for 10 mole of CO to teak through a similar orifice if the CO were confined at the same pressure?

A large cylinder of helium filled at 200 mm of Hg has small orifice through which helium escaped into evacuated space at the rate of 6.4 mol es//hour . How long would it take for 10 mol es of CO to leak through a similar orifice if the CO was confined at the same pressure?

A tank of height 15 m and cross-section area 10 m^(2) is filled with water. There is a small hole of cross-section area a which is much smaller than the container, located at a height of 12 m from the base of the container. How much force should be applied with coming out of the top level, so that water coming out of the holwe hits the ground at a distance of 16 m? ("Take of water =1000 kg m"^(-3))

A 4.0 kg block is suspended from the celling of an elevator through a string having a linear mass density of 1.6 xx 10^(-2) kg//m . Find (a) speed (with respect to the string) with which pulse can proceed on the string it he elevator accelerates up at the rate of 6 m//s . (b) in part (a) at some instant speed of lift is 40 m//s in upward direction, then speed of the wave pulse with respect to ground at that instant is (Take = 10 m//s^(2) )

A cylindrical block of length 0.4 m and area of cross-section 0.04 m^2 is placed coaxially on a thin metal disc of mass 0.4 kg and of the same cross - section. The upper face of the cylinder is maintained at a constant temperature of 400 K and the initial temperature of the disc is 300K . if the thermal conductivity of the material of the cylinder is 10 "watt"// m.K and the specific heat of the material of the disc is 600J//kg.K , how long will it take for the temperature of the disc to increase to 350 K ? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder.

A cylindrical block of length 0.4 m and area of cross-section 0.04 m^2 is placed coaxially on a thin metal disc of mass 0.4 kg and of the same cross - section. The upper face of the cylinder is maintained at a constant temperature of 400 K and the initial temperature of the disc is 300K. if the thermal conductivity of the material of the cylinder is 10 "watt"// m-K and the specific heat of the material of the disc is 600J//kg-K , how long will it take for the temperature of the disc to increase to 350 K? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder.

A cylindrical block of length 0.4 m and area of cross-section 0.04 m^2 is placed coaxially on a thin metal disc of mass 0.4 kg and of the same cross - section. The upper face of the cylinder is maintained at a constant temperature of 400 K and the initial temperature of the disc is 300K. if the thermal conductivity of the material of the cylinder is 10 "watt"// m-K and the specific heat of the material of the disc is 600J//kg-K , how long will it take for the temperature of the disc to increase to 350 K? Assume for purpose of calculation the thermal conductivity of the disc to be very high and the system to be thermally insulated except for the upper face of the cylinder.

A farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in her field,which is 10 m in diameter and 2 m deep.If water flows through thr pipe at the rate of 3 km/h,in how much time will the tank be filled?