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 …

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