Chapter 7 – Properties of Solids and Liquids

Water is flowing continuously from a tap having an internal diameter 8 x 10^−3 m. The water velocity as it leaves the tap is 0.4 m/s . The diameter of the water stream at a distance 2 x 10^−1 m below the tap is close to coefficient of viscosity of water =1 mPas). the Reynolds [...]

If a ball of steel (density ρ=7.8g/cm^3) attains a terminal velocity of 10cm/s when falling in a tank of water (coefficient of viscosity, ηwater = 8.5×10^−4Ps s), then its terminal velocity in glycerine (ρ=12g/cm^2, η=13.2 Pas) would be nearly If a ball of steel (density ρ=7.8g/cm^3) attains a terminal velocity of 10cm/s when falling in [...]

A thin liquid film formed between a U-shaped wire and a light slider supports a weight of 1.5×10^−2 N (see figure). The length of the slider is 30cm and its weight negligible. The surface tension of the liquid film is coefficient of viscosity of water =1 mPas). the Reynolds number for the flow is of [...]

A liquid of density p is coming out of a hose pipe of radius a with horizontal speed υ and hits a mesh . 50 % of the liquid passes through the mesh unaffected . 25 % comes back with the same speed .The resultant pressure on the mesh will be: coefficient of viscosity of [...]

The top of a water tank is open to air and its water level is maintained. It is giving out 0.74 m^3 water per minute through a circular opening of 2 cm radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to [...]

Water flows into a large tank with flat bottom at the rate of 10^−4 m^3s^−1. Water is also leaking out of a hole of area 1 cm^2 at its bottom. If the height of the water in the tank remains steady, then this height is : then this height is : Water flows into a [...]

Water from a tap emerges vertically downwards with an initial speed of 1.0 ms^−1. The cross-sectional area of the tap is 10^−4 m^2. Assume that the pressure is constant throughout the stream of water and that the flow is steady. The cross-sectional area of the stream 0.15 m below the tap would be (g=10ms^−2 ) [...]

A cubical block of side 0.5 m floats on water with 30% of its volume under water. What is the maximum weight that can be put on the block without fully submerging it under water ? (Take density of water = 10^3 kg/m^3 ) coefficient of viscosity of water =1 mPas). the Reynolds number for [...]

A submarine experiences a pressure of 5.05×10^6Pa at a depth of d1 in a sea When it goes further to a depth of d2. It experiences a pressure of 8.08×10^6Pa. The d2−d1 is approximately (density of water =10^3kg/m^3 and acceleration due to gravity =10 ms^−2) coefficient of viscosity of water =1 mPas). the Reynolds number [...]

The ratio of surface tensions of mercury and water is given to be 7.5 while the ratio of their densities is 13.6. Their contact angles, with glass, are close to 135 degree and 0 degree , respectively. It is observed that mercury gets depressed by an amount h in a capillary tube of radius r1, [...]