The pressure (P) of a liquid column dependsonits height h, the density`rho`, acceleration due to gravity g. Show that P = h`rho`g by dimensional method. (Given: constant k = 1)

If the density of the earth is doubled keeping its radius constant then acceleration due to gravity will be (g=9.8 m//s^(2))

If the density of the earth is tripled keeping its radius constant, then acceleration due to gravity will be (g=9.8 m/s^2)

Show that acceleration due to gravity at height h above the Earth’s surface is g_h = g ((R )/(R+h))^2

The centr of mass of a right circular coneof height h, radius R and constant density rho is at

Answer the following questions : What is the acceleration due to gravity at a height h (=radius of the earth) from the surface of the earth ? (g=9.8m/s^2)

If the speed of light c, acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities then the dimension of gravitational constant is

A uniform spherical planet · (Radius R) has acceleration due to gravity at its surface as g. Points P and Q located inside and outside the planet respectively have acceleration due to gravity g/4 . Maximum possible separation 4 between P and Q is,

The length of second 's pendulum on the surface of earth is nearly 1 m . Its length on the surface of moon should be [ Given : acceleration due to gravity (g) on moon is 1/6th of that on the earth 's surface]

Discuss the variation of g with depth and derive the necessary formula. OR Show that the gravitational acceleration due to the earth at a depth d from its surface is g_d= g[1- frac(d)(R)] , where R is the radius of the earth and g is the gravitional acceleration at the earth's surface. OR Discus the variation of acceleration due to gravity with depth 'd' below the surface of the earth OR Derive an expression for acceleration due to gravity at depth 'd' below the surface of earth

An aquarium is filled with water. The lateral wall of the aquarium is 50 cm long and 40 cm high. Using 10 g//cm^(2) for the acceleration due to gravity, and 1 g//cm^(2) for the density of water, the force on the lateral wall of the aqurium is