Will the theorem of perpendicular axis be applicable to a solid sphere?

Theorem of perpendicular axis be applicable to which type of body?

State and prove theorem of perpendicular axes.

(a) Prove the theorem of perpendicular axes. (Hint : Square of the distance of a point (x, y) in the x-y plane from an axis through the origin perpendicular to the plane is x^(2)+y^(2) ). (b) Prove the theorem of parallel axes. (Hint : If the centre of mass is chosen to be the origin Sigmam_(1)(r_(i)=0) .

A solid sphere of radius R and density rho is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3rho . The complete arrangement is placed in a liquid of density 2rho and is allowed to reach equilibrium. The correct statements(s) is (are)

Assertion: A positively charged rod is held near a neutral conducting solid sphere as illustrated below. The sphere lies on a insulated stand. The potential of ground (or earth) is zero. The potential at point A (point A need not be centre of the sphere) is higher compared to potential of gound (earth). Reason: In this situation of assertion, the potential at the centre of conducting sphere is positive. the solid sphere being conducting, potential at each point in the sphere is same.

Write carnot theorem.

State and prove theorem of parallel axis.

As shown in fig. a conducting ring R is placed on the axis of a bar magnet M. The plane of R is perpendicular to the axis M can move along this axis _____

How many solid spherical balls of radius 2cm can be made by melting a solid sphere of 8cm?

A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a charge of -3Q , the new potential difference between the same two surfaces is :