Physics Test - ...

What is the correct expression for the total energy of a simple harmonic oscillator with displacement ?

A short bar magnet has a magnetic moment of 0.48 J/T. Give the magnitude of the magnetic field produced by the magnet at a distance of 10 cm from the centre of the magnet on  the equatorial line (normal bisector) of the magnet.

The ratio of angular speeds of minute hand and hour hand of a watch is

In the figure, if a parallel beam of white light is incident on the plane of the slits S₁ and S₂ then the distance of the nearest white spot on the screen from O is  [ Assume D>>d, d>>λ ]

A load of 1 kg weight is attached to one end of a steel wire of area of cross-section 3 mm² and Young's modulus 10¹¹ N.m^-2. The other end is suspended vertically from a hook on a wall, then the load is pulled horizontally and released. When the load passes through its lowest position the fractional change in length is (g = 10 m.s^-2)

A particle is kept at rest at a distance R (Earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is

Figure shows a smooth inclined plane of inclination θ fixed in a car. A sphere is set in pure rolling on the incline. For what value of 'a' (the acceleration of car in horizontal direction) the sphere will continue pure rolling?

In an AC circuit V and I are given by V=100 sin(100 t) volt, I=100 sin(100 t+π/3) mA the power dissipated in the circuit is -

Two dielectric slabs are inserted between plates of a parallel plate capacitor as shown in the figure. When connected to a battery, the ratio of the potential difference across the two layers is

Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m.s^-2)