The hollow sphere, in which the circus motor cyclist performs his stunts ,has a diameter of 7m. Find the area available to the motor cyclist for riding.

The length of a hollow right circular cylinder is 10 metres and the diameter of the base is 7 metres. Find the area of its curved surface.

On the curved surface of the axis of a globe with the length of 14cm radius, two circular holes are made each of which has the length of radius 0.7cm. Find the area of metal sheet surrounding its curved surface.

Two cyclists start from the junction of two perpendicular roads, there velocities being 3um//m in and 4um//m in , respectively. Find the rate at which the two cyclists separate.

Find out the maximum charge on an unearthed hollow metal sphere of radius 3.0m for which it would not discharge into air. What would be the potential of the sphere in that condition? Assume that, electric discharge into air initiates at a field intensity of 3xx10^(6)V cdot m^(-1) .

A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its cross sectional area is 4.9 times 10^-7 m^2 . IF the mass is pulled a little in the vertically downward direction and released, it performs simple harmonic motion of angular frequency 140 rad.s^-1 . IF the young's modulus of the material of the wire is n times 10^9 N.m^-2 . Find the value of n.

A metal sphere has a diameter of 1m. What will be the amount of charge required to rate its potential by 2.7 xx 10^(6)V ?