A charge Q is uniformly distributed throughout the volume of a dielectric sphere of radius R having a cavity of radius `7/2` created inside the sphere as shown in the figure. The electric potential at a point on the line passing through the center of the cavity at a distance `3R/2` from the center of the sphere is found out to be `(13Q)/(12y pi varepsilon_(0)R)`Find the value of y ?

Charge Q is uniformly distributed throughout the volume of a solid hemisphere of radius R metres. Then the potential at centre O of hemisphere in volts is:

A hemi-spherical cavity is created in solid sphere (of radius 2R ) as shown in the figure. Then

A solid of radius 'R' is uniformly charged with charge density rho in its volume. A spherical cavity of radius R/2 is made in the sphere as shown in the figure. Find the electric potential at the centre of the sphere.

A hemispherical cavity of radius R is created in a solid sphere of radius 2R as shown in the figure . They y -coordinate of the centre of mass of the remaining sphere is

Positive charge is uniformly distrubuted with volume charge density rho of sphere of radius R. A spherical cavity is created in the sphere as shown in figure. This electric field intensity inside the cavity at point P is(where CP =R/5 , C_0 C = 2R/3 , radius of cavity is R/4, C_0 & C are centre of sphere & cavity respectively)

A solid conducting sphere of radius r is having a charge of Q and point charge q is a distance d from the centre of sphere as shown. The electric potential at the centre of the solid sphere is :

A charge Q is uniformly distributed over the surface of two conducting concentric spheres of radii R and r (Rgtr). Then, potential at common centre of these spheres is

A charge is uniformly distributed inside a spherical body of radius r_(1) = 2 r_(0) having a concetric cavity of radius r_(2) = r_(0) ( rho is charge density inside the sphere). The potential of a point P at a distance (3 r_0)/(2) from the centre is

An isolated solid metal sphere of radius R is given an electric charge. The variation of the intensity of the electric field with the distance r from the centre of the sphere is best shown by

A positive charge Q is uniformly distributed throughout the volume of a dielectric sphere of radius R. A point mass having charge +q and mass m is fired toward the center of the sphere with velocity v from a point at distance r (r gt R) from the center of the sphere. Find the minimum velocity v so that it can penetrate (R//2) distance of the sphere. Neglect any resistance other than electric interaction. Charge on the small mass remains constant throughout the motion.