A glass paper weight (n = 1.5) of radius 3 cm has a tiny air bubble trapped inside it. Closest distance of the bubble from the surface is 2 cm. Where will it appear, when seen from the other end from where it is the farthest?

If the distance of the point P(1,-2,1) from the plane x+2y-2z=alpha , where alpha>0 , is 5, then the foot of the perpendicular from P to the place is

The radius of a circle is 5 cm and the distance of a chord from the centre is 3 cm . Find the length of the chord.

A sphere of radius 10 cm carries a charge of 1 mu C . Calculate the electric field at a distance of 5 cm from the center of the sphere

There is a small air bubble at the centre of a solid glass sphere of radius 'r' and refractive index mu . What wil be the apparent distance of the bubble from the centre of the sphere, when viewed from outside?

The surface tension of soap solution is 0.035 N/m . The energy needed to increase the radius of the bubble from 4 cm to 6 cm is

A soap buble of radius 1.0 cm is formed inside another soap bubble of radius 2.0 cm . The radius of an another soap bubble which has the same pressure difference as that between the inside of the smaller and outside of large soap bubble , in metres is

Draw a circle of radius 2.5cm. Take a point P at a distance of 8 cm from its centre. Construct a pair of tangents from the point P to the circle.

A metal sphere of radius 1cm is charged with 3.14 mu C . Find the electric intensity at a distance 1 m from centre of metal sphere.