A ray of light falls on a transparent sphere with centre at C as shown in figure given here.
The ray emerges from the sphere parallel to line AB. The refractive index of the sphere is

The charge on the capacitor of capacitance G shown in the figure below will be

Certain quantity of water cools from 70°C to 60°C in the first 5 min and to 54°C in the next 5
min. The temperature of the surroundings is

Five equal resistances, each of resistance R, are connected as shown in figure below. A
battery of V volt is connected between A and (B) The current flowing in FC will be

A body floats in water with 40% of its volume outside water. When the same body
floats in an oil, 60% of its volume remains outside oil. The relative density of oil is

If g is the acceleration due to gravity on the earth s surface, the gain in potential energy of the
body at a height equal to two times the radius R of the earth will be:

The moment of inertia of a uniform horizontal cylinder of mass M about an axis passing
through its edge and perpendicular to the axis of the cylinder when its length is 6 times its
radius R is

Two soap bubbles of radii x and y coalesce to constitute a bubble of radius z is equal
to

A particle of mass m is located in a one dimensional potential field where potential
energy is given by:
V(x) = A(1 – cos px), where A and p are constants. The period of small oscillations of the particle is

The period of oscillation of a simple pendulum of length l suspended from the roof of
a vehicle, which moves without friction down an inclined plane of inclination a, is given by