The greatest thickness of a plano-convex lens ,when viewed normally through its plane surface,appears to be `8//300` m and when viewed normally through its curved surface,appers to be `16//500 m`.If the actual thickness is 0.04 m,find its
radius of cruature

The greatest thickness of a Plano-convex lens ,when viewed normally through its plane surface, appears to be 8//300 m and when viewed normally through its curved surface,appears to be 16//500 m .If the actual thickness is 0.04 m,find its refractive index,

The slant side of a right circular cone is 10 m and its height 8 m. find the area of its curved surface.

Find the radius of curvature of the convex surface of a plano convex lens,whose focal length is 0.3 m and the refractive index of the material of the lens is 1.5/

Curved surface area of a right circular cylinder is 4.4 m^2 . If the radius of the base of the cylinder is 0.7 m, find its height.

A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6.0 A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire? g = 9.8 m s^-2 .

Two bodies of masses 1 kg and 3 kg respectively are connected rigidly by a vertical spring. The body of mass 3 kg rests on a smooth horizontal surface. The force constant of the spring is 484Nm^(-1) . From the equilibrium position, the mass of 1 kg is displaced vertically through a distance of 0.02 m and then released. calculate (i) and frequency of oscillation of the mass of 1 kg (ii) the maximum velocity of this mass (iii) its oscillation energy and (iv) the reaction of the table on the mass of 3 kg, when mass 1 kg is having harmonic oscillations.

A plano - convex lens has thickness 4 cm.When placed on a horizontal table with the curved surface in contact with it,the apparent depth of the bottom-most point of the lens is found to be 3 cm.If the lens is inverted ,such that the plane face is in contact with the table,the apparent depth of the centre of plane face of the lens is found to be 25//8 cm.Find the focal length of the lens.

Find the e.m.f. induced in a coil of 100 turns and crosssectional area 0.4 m^2 , when a magnetic field perpendicular to a plane of the coil changes from 0.5 Wbm^(-2) to 0.1Wbm(-2) at a uniform rate over a period of 0.04 s. If the resistance of the coil is 3.2kOmega , find the value of current flowing through it.