A quater cylinder of radius R and refractive index 1.5 is placed on a table .A point object P is kept at a distance of m R from it.Find the value of m for which a ray from P will emerge parallel to the table as shown in fir.2.65.
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Find the coordinates of a point on y-axis which are at a distance of 5sqrt2 from the point P (3, -2, 5).

A point object is placed at the centre of a glass sphere of radius 6 cm and refractive index 1.5.The distance of the virtual image from the surface of the sphere is

A spherical surface radius of curvatue R seprates air (refractive index 1.0) from glass 9refractive index 1.5).The centre of curvature is in the glass.A point object P is placed in air is found to have a real image Q in the glass.The line PQ cuts the surface at a point O and PO = OQ[Fig.2.47].Find the distance of object from the shperical surface. .

Find the co-ordinate of a point on y-axis which are at a distance of 5sqrt(2) from the point P(3,-2,5).

An object 2 cm high is placed at a distance of 5 cm from a concave mirror,whose radius of curvature is 20 cm.Find the position of the image.

A ring of radius R is uniformly charged by + Q charge. Find potential at an axial point, which is situated at distance r from the centre and hence deduce electric field.

An object is placed 21 cm in front of a concave mirror of radius of curvature 10 cm.A glass slab of thickness 3 cm and refractive index 1.5 is then placed close to the irror in the space between the object and mirror as shown in Fig.2.62.Find the position of the final image formed.You may take the distacne of the near surface of the slab from the mirror to be 1 cm. .

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the force on the charge at the centre of shell and at point A.

A thin metallic spherical shell of radius R carries a charge Q on its surface. A point charge Q/2 is placed at its centre C and another charge +2Q outside the shell at a distance r from the centre as shown in figure. Find the electric flux through the shell.

A small coil of radius 0.002 m is placed on the axis of a magnet of magnetic moment 10^(5) JT^(-1) and length 0.1 m at a distance of 0.15 m from the centre of the magnet. The plane of the coil is perpendicular to the axis of the magnet. Find the force on the when a current of 2.0 A is passed through it.