The inductive reactance of an inductor of 1/π henry at 50 Hz frequency is
For a substance the average life for α-emission is 1620 years and for β emission is 405 years. After how much time the 1/4 of the material remains after α and β emission
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A cane filled with water is revolved in a vertical circle of radius 4 meter and the water just does not fall down. The time period of revolution will be
From a stationary tank of mass 125000 pound a small shell of mass 25 pound is fired with a muzzle velocity of 1000 ft/sec. The tank recoils with a velocity of
The ratio of specific charge of an α-particle to that of a proton is
Four two ohm resistors are connecte together along the edges of a square. A 10V battery of negligible internal resistance is connected across a pair of the diagonally opposite corners of the square. The power dissipated in the circuit is
A coil of wire of radius r has 600 turns and a self inductance of 108 mH. The self inductance of a similar coil of 500 turns will be
A power supply P₁ delivers 20 V d.c. with a ripple of 1.0 V r.m.s. while the power supply P₂ delivers 50 V d.c. with a ripple of 2.0 m V r.m.s. Which one of the following is correct?
Three capacitors each of capacity 4 μF are to be connected in such a way that their effective capacitance is 6 μF. This can be done by connecting
A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be μ, then the stopping distance is
At temprature T, the poewr radiated by a body is Q watts. At the temprature 3T the power radiated by it will be
At which temperature the velocity of O₂ molecules will be equal to the velocity of N₂ molecules at 0ºC
A light spring balance hangs from the hook of the other light spring balance and a block of mass M kg hangs from the former one. Then the true statement about the scale reading is
The electric current in a circular coil of two turns produced a magnetic induction of 0.2 T at its centre. The coil unwound and is rewound and into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in telsa (if same current flows in the coil)
If a bar magnet of moment μ is suspended in a uniform magnetic field B and it is given an angular deflection ' θ ' w.r.t its equilibrium position, the restoring torque on magnet is
Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is
Consider the acceration, velocity and displacement of a tennis ball as it falls to the ground and bounces back. Directions of which of these changes in the process
With what minimum acceleration can a fireman slides down a rope while breaking strength of the rope is 2/3 his weight
For vectors making an angle ' θ ', which one of the following relations is correct?
A child is sitting on a swing. Its minimum and maximum heights from the ground are 0.75 m and 2m respectively. Its maximum speed will be
A ball is projected with kinetic energy E at an angle of 45º to the horizontal. At the highest point during its flight, its kinetic energy will be
The ratio of the rms velocity of O₂ (32) and hydrogen H₂ (2) molecules at same temperature is
The wavelength of light diminishes 'μ' times in a medium. A diver from inside water (μ=1.33) looks at an object whose natural colour is green. He sees the object as
The angular momentum of a system of particles is not conserved when
The time dependence of a physical quantity p is given by
p=p₀ exp(-α t2). The constant α
The liquid meniscus in capillary tube will be convex, if the angle of contact is
Three light bulbs of 40 W, 60 W and 100 W are connected in series with 220 V source. Which one of the bulbs will glow brightest