A spherical shell is cut into two pieces along a chord as shown in the figure. `P` is a point on the plane of the chord. The gravitational field at `P` due to the upper part is `I_(1)`, and that due to the lower part is `I_(2)`. What is the relation between them?

A spherical shell is cut into two pieces along a chord and separated by large distance as shown in figure. For points A and B , where V and E are gravitational potential and field respectively

A spherical thick shell made of transparent material is cut along its chord as shown,The smaller part will:

A thin sphereical shel having uniform density is cut in two parts by as palne and kept separated as shown in figure. The point A is the centre of the plane section of the first par and B is the centre of the plane sectioin of the second part Show that the grvitationas field at A due to teh first part ss equal in magnitude to the gravitational field at B due to the second part.

A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

Two perpendicular infinite wires are carrying current i as shown in the figure. The magnetic field at point P is :

A non - planar loop of conducting wire carrying a current I is placed as shown in the figure . Each of the straighrt sections of the loop is of the length 2a . The magnetic field due to this loop at the point P(a, 0 ,a) points in the direction

A vertical pole with height more than 100 consists of two parts, the lower being one - third of the whole. At a point on a horizontal plane through the foot and 40m from it, the upper part subtends an angle whose tangent is (1)/(2) What is the height of the pole?

Two liquids of densities p_(1) and p_(2) (p2_= 6 p1 ) are filled up behind a square wall of side 8 m as shown in figure. The liquids have height as shown. The ratio of the forces due to these liquids exerted on upper part MN to that at the lower part NO is (Assume that the liquids are not mixing)