Explain why
Atmospheric pressure at a height of about 6km decreases to nearly half to its value at the sea level, through the height of the atmospheric is more than 100 km.

The acceleration due to gravity at a hill station is less by 0.05% with respect to that at sea level. What is the height of that hill station? The radius of the earth =6400 km.

A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, 10 m height, the depth of the lake is correct 80 M 90 M 40 m 10 m 70 m

When an air bubble rises from the bottom of a sea its volume increases to 4 times its initial value. IF the atmospheric pressure is 76 cmHg and the temperatures at the bottom and the surface of the sea are the same. Then what will be the depth of the sea? Density of mercury= 13.6 g.cm^-3 .

At what height above the surface of earth acceleration due to gravity will be (ii) 50% of its value on the surface of the earth. Given radius of earth =6400 km.

As you have learnt in the text ,a geostationary satellite orbits the earth at a height of nearly 36000 km from the surface of the earth. What is the potential due to earth's gravity at the site of this satellite? (Take the potential energy at infinity to be zero.) Mass of the earth= 6.0xx10^(24)kg , radius =6400 km.

At what height above the surface of the earth will the acceleration due to gravity be half of its value on the earth's surface ? Radius of the earth =6400 km.