Four point charges –Q, –q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is :
Two long parallel wires carry equal current i flowing in the same direction are at a distance 2d apart. The magnetic field B at a point lying on the perpendicular line joining the wires and at a distance x from the midpoint is –
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In the circuit shown, the symbols have their usual meanings. The cell has emf E. X is initially joined to Y for a long time. Then, X is joined to Z. The maximum charge on C at any later time will be
A point object O is placed in front of a glass rod having spherical end of radius of curvature 30 cm. The image would be formed at
In Young’s double slit experiment, λ = 500nm, d = 1mm, D = 1m. Minimum distance from the central maximum for which intensity is half of the maximum intensity is
What is the voltage gain in a common emitter amplifier, where input resistance is 3 Ω and load resistance 24 Ω, b = 0.6 ?
The acceleration due to gravity on the surface of the moon is 1/6 that on the surface of earth and the diameter of the moon is one-fourth that of earth. The ratio of escape velocities on earth and moon will be
A particle of mass m executes simple harmonic motion with amplitude a and frequency n. The average kinetic energy during its motion from the position of equilibrium to the end is
The dipole moment of the given charge distribution is
At a place, if the earth's horizontal and vertical components of magnetic fields are equal, then the angle of dip will be
The third line of Balmer series of an ion equivalnet to hydrogen atom has wavelength of 108.5 nm.The ground state energy of an electron of this ion will be
The binding energy per nucleon of 10X is 9 MeV and that of 11X is 7.5 MeV where X represents an element. The minimum energy required to remove a neutron from 11X is
If C, the velocity of light, g the acceleration due to gravity and P the atmospheric pressure be the fundamental quantities in MKS system, then the dimensions of length will be same as that of
Figure shows a capillary rise H. If the air is blown through the horizontal tube in the direction as shown then rise in capillary tube will be
A boy running on a horizontal road at 8 km/h finds the rain falling vertically. He increases his speed to 12 km/h and finds that the drops makes 30° with the vertical. The speed of rain with respect to the road is
A hunter aims his gun and fires a bullet directly at a monkey on a tree. At the instant the bullet leaves the barrel of the gun, the monkey drops.
Pick the correct statement regarding the situation.
A particle of mass m1 moving with velocity v collides with a mass m2 at rest, then they get embedded. Just after collision, velocity of the system
The ratio of the specific heats of a gas is Cp/Cv = 1.66, then the gas may be
Two oscillators ar e started simultaneously in same phase. After 50 oscillations of one, they get out of phase by p, that is half oscillation. The percentage difference of frequencies of the two oscillators is nearest to
A juggler keeps on moving four balls in the air throwing the balls after intervals. When one ball leaves his hand (speed = 20 ms–1) the position of other balls (height in m) will be (Take g = 10 ms–2)
If a stone of mass 0.05 kg is thrown out a window of a train moving at a constant speed of 100 km/ h then magnitude of the net force acting on the stone is
A body of mass M hits normally a rigid wall with velocity V and bounces back with the same velocity. The impulse experienced by the body is
A hoop rolls down an inclined plane. The fraction of its total kinetic energy that is associated with rotational motion is
Infinite number of masses, each 1 kg are placed along the x-axis at x = ± 1m, ± 2m, ± 4m, ± 8m, ± 16m ..... the magnitude of the resultant gravitational potential in terms of gravitational constant G at the orgin (x = 0) is
Water of volume 2 litre in a container is heated with a coil of 1 kW at 27°C. The lid of the container is open and energy dissipates at rate of 160 J/s.
In how much time temperature will rise from 27°C to 77°C? [Given specific heat of water is 4.2 kJ/kg]
In the following P-V diagram of an ideal gas, two adiabates cut two isotherms at T1 = 300K and T2 = 200K. The value of VA = 2 unit, VB = 8 unit, VC = 16 unit. Find the value of VD.
The mass of H2 molecule is 3.32 × 10–24 g. If 1023 hydrogen molecules per second strike 2 cm2 of wall at an angle of 45o with the normal, while moving with a speed of 105 cm/s, the pressure exterted on the wall is nearly.
The wavelength of two waves are 50 and 51 cm respectively. If the temperature of the room is 20°C then what will be the number of beats produced per second by these waves, when the speed of sound at 0°C is 332 m/s?
The figure shows the interference pattern obtained in a double-slit experiment using light of wavelength 600nm. 1, 2, 3, 4 and 5 are marked on five fringes.The third order bright fringe is