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An electric dipole has the magnitude of its charge as q, and its dipole moment is p. It is placed in a uniform electric field E. If its dipole moment is along the direction of the field, then force acting on it and its potential energy are respectively
A body of mass 1g and carrying a charge 10−8 C passes from two points P and Q. P and Q are at electric potentials 600V and 0V respectively. The velocity of the body at Q is 20 cms−1 . Its velocity in ms−1 at P is
A car having a mass of 1000 kg is moving at a speed of 30 metres/sec. Brakes are applied to bring the car to rest. If the frictional force between the tyres and the road surface is 5000 newtons, the car will come to rest in
A body cools from 60oC to 50oC in 10 minutes. If the room temperature is 25oC and assuming Newton's law of cooling to hold good, the temperature of the body at the end of the next 10 minutes will be
A sphere of radius r is falling in a viscous fluid. The terminal velocity attained by the falling sphere will be proportional to
An aeroplane is moving with horizontal velocity u at height h. The velocity of a packet dropped from it on the earth's surface will be (g is acceleration due to gravity)
If a cycle wheel of radius 4 m completes one revolution in two seconds. Then acceleration of the cycle will be
If a simple harmonic motion is represented by d2x/dt2 + αx = 0, its time period is
The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is
Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is (mass of the ring = m and radius= r)