Show that the radius of Bohr's orbit is directly proportional to the square of the principal quantum number.

The displacement of a particle is directly proportional to the square of the time.Explain whether the object is moving with uniform velocity or with uniform acceleration.

Show that the capacitance of an insulated spherical conductor is directly proportional to the radius of the spherical conductor.

Derive an expression for the rise of liquid in a capillary tube and show that the height of the liquid column supported is inversely proportional to the radius of the tube.

Show that velocity of escape is proportional to the square root of the product of acceleration due to gravity and the diameter of earth.

The distance travelled by a body varies directly proportional to the square of time. What type of motion this body has?

A particular substance is being cooled by a stream of cold air (temperature of the air is constant and is 5^(@)C ) where rate of cooling is directly proportional to square of difference of temperature of the substance and the air. If the substance is cooled from 40^(@)C to 30^(@)C in 15 min and temperature after 1 hour is T^(@)C, then find the value of [T]//2, where [.] represents the greatest integer function.

If the value of l = 2, what will be the value of principal quantum number?

Show that half life period for a zero order reaction is directly proportional to initial concentration of reactants.