It is known that density ρ of air decreases with height y as 0ey/y00  Where ρ0 = 1.25kg m-3 is the density at sea level, and y0  is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of atmosphere remains a constant (isothermal conditions). Also assume that the value of gremains constant. A large He balloon of volume 1425 3 m is used to lift a payload of 400 kg. Assume that the balloon maintains constant radius as it rises. How high does it rise? [Take y0= 8000 m and = 0.18 kg m-3 ].

It is known that density ρ of air decreases with height y as 0ey/y00  Where ρ0 = 1.25kg m-3 is the density at sea level, and y0  is a constant. This density variation is called the law of atmospheres. Obtain this law assuming that the Read More …

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is  7.3 × 10-2 N m-1 . Take the angle of contact to be zero and density of water to be 1.0 × 103 kg m-1 (g= 9.8 m s-2  )

Two narrow bores of diameters 3.0 mm and 6.0 mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension Read More …

Mercury has an angle of contact equal to 140o with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube relative to the liquid surface outside? Surface tension of mercury at the temperature of the experiment is  0.465 N -1 . Density of mercury= 13.6 × 103 kg m-2 

Mercury has an angle of contact equal to 140o with soda lime glass. A narrow tube of radius 1.00 mm made of this glass is dipped in a trough containing mercury. By what amount does the mercury dip down in the tube Read More …

In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of  radius 2.0 × 10-5 m and density  1.2  × 103 kg m-3 ?Take the viscosity of air at the temperature of the experiment to be  1.8  ×10-5 Pa s. How much is the viscous force on the drop at that speed? Neglect buoyancy of the drop due to air.

In Millikan’s oil drop experiment, what is the terminal speed of an uncharged drop of  radius 2.0 × 10-5 m and density  1.2  × 103 kg m-3 ?Take the viscosity of air at the temperature of the experiment to be  1.8  ×10-5 Pa Read More …

A plane is in level flight at constant speed and each of its two wings has an area of  25 m2 . If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper wing surface, determine the plane’s mass. (Take air density to be1 kg m-3 ).

A plane is in level flight at constant speed and each of its two wings has an area of  25 m2 . If the speed of the air is 180 km/h over the lower wing and 234 km/h over the upper Read More …

What is the largest average velocity of blood flow in an artery of radius  2 × 10-3 m if the flow must remain laminar? ( b) What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10-3 Pa s).

What is the largest average velocity of blood flow in an artery of radius  2 × 10-3 m if the flow must remain laminar? ( b) What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10-3 Read More …

In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery of diameter 2 × 10–3 m if the flow must remain laminar? (b) Do the dissipative forces become more important as the fluid velocity increases? Discuss qualitatively

In deriving Bernoulli’s equation, we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery of diameter 2 × 10–3 Read More …

During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that blood may just enter the vein? [Use the density of whole blood from Table 10.1].

During blood transfusion the needle is inserted in a vein where the gauge pressure is 2000 Pa. At what height must the blood container be placed so that blood may just enter the vein? [Use the density of whole blood from Table Read More …

Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill up to a particular common height. Is the force exerted by the water on the base of the vessel the same in the two cases? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?

Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill up to a particular common height. Is the force exerted by the water on the base Read More …

A manometer reads the pressure of a gas in an enclosure as shown in Fig. 10.25 (a) When a pump removes some of the gas, the manometer reads as in Fig. 10.25 (b) The liquid used in the manometers is mercury and the atmospheric pressure is 76 cm of mercury. Give the absolute and gauge pressure of the gas in the enclosure for cases (a) and (b), in units of cm of mercury. How would the levels change in case (b) if 13.6 cm of water (immiscible with mercury) are poured into the right limb of the manometer? (Ignore the small change in the volume of the gas).

A manometer reads the pressure of a gas in an enclosure as shown in Fig. 10.25 (a) When a pump removes some of the gas, the manometer reads as in Fig. 10.25 (b) The liquid used in the manometers is mercury and Read More …

A tank with a square base of area  1.0 m2 is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area  20 cm2 . The tank is filled with water in one compartment, and an acid (of relative density 1.7) in the other, both to a height of 4.0 m. compute the force necessary to keep the door close.

A tank with a square base of area  1.0 m2 is divided by a vertical partition in the middle. The bottom of the partition has a small-hinged door of area  20 cm2 . The tank is filled with water in one compartment, Read More …

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