An alternating e.m.f of angular frequency ω is applied across an inductance. The instantaneous power developed in the circuit has an angular frequency
A uniform plank of Young's modulus Y is moved over a smooth horizontal surface by a constant horizontal force F. The area of Cross section of the plank is A. The compressive strain on the plank in the direction of the force is
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A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is
A gun of mass 10Kg fires four bullets per second. The mass of each bullet is 20 g and the velocity of the bullet when it leaves the gun is 300 ms-1. The force required to hold the gun while firing is
In terms of Rydberg's constant R, the wave number of the first Balmer line is
A resistor of 0.5 Ω is connected to another resistor in parallel combination to get an equivalent resistance of 0.1 Ω. The resistance of the second resistor is
A particle with a specific charge S is fired with a speed v towards a wall at a distance d, perpendicular to the wall. What minimum magnetic field must exist in this region for particle not hit the wall ?
The advanced microprocessor has ALU that can also do:
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
Where will it be profitable to purchase one kilograme sugar ?
Two trolleys of masses m and 3m are connected by a spring. They are compressed and released once. They move off in opposite directions and come to rest after covering distances S1 and S2 respectively. Assuming coefficient of friction uniform, the ratio of the distances S1 : S2 is
A black body at a temperature of 1640 K has wavelength corresponding to maximum emission equal to 1.75 μm. Assuming the moon to be a perfectly black body, the temperature of moon if the wavelength corresponding to maximum emission is 14.35 μm, is
What is the velocity of wave in monoatomic gas having pressure 1 kilopascal and density 2.6 kg/m3
The mass of lift is 2000 kg. When the tension in the supporting cable is 28000 N, then its acceleration is:
The cyclotron frequency of an electron gyrating in a magnetic field of 1 T is
The magnetic field strength at a point at a distance 'd' from the centre, on the axial line of a very short bar magnet of magnetic moment 'M' is B. The magnetic induction at a distance'2d' from centre on the equatorial line of a magnet of moment 8M, will be
A spherical ball of radius r is falling in a viscous fluid of viscosity h with a velocity v. The retarding viscous force acting on the spherical ball is
The displacement of a particle, moving in a straight line, depends on time (t) as: s = αt3 + βt2 + γt + δ. The ratio of its initial acceleration to its initial velocity depends
A car sometimes overturns while taking a turn. When it overturns, it is
A pendulum bob of mass 50 gm is suspended from the ceiling of an elevator. The tension in the string if the elevator goes up with uniform velocity is approximately
The instantaneous acceleration of a particle executing simple harmonic motion given by y = a sin ωt:is
The range of projectile when launched at an angle of 15° with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45° to the horizontal
Two capillary tubes of same diameter are put vertically one each in two liquids whose relative densities are 0.8 and 0.6 and surface tension are 60 and 50 dynes/cm respectively. Ratio of heights of liquid in the two tubes, h₁ / h₂ is
While viewing a distant object with a telescope, suddenly a housefly sits on objective lens. The correct statement is that
A body A of mass M while falling vertically downwards under gravity breaks into two parts, a part B of mass M/3 and body C of mass 2M/3. The centre of mass of the bodies B and C taken together
Five equal forces of 10 N each are applied at one point and all are lying in one plane. If the angles between them are equal, the resultant of these forces will be
Consider a liquid contained in a vessel. The liquid-solid adhesive force is very weak as commpared to the cohesive force in the liquid. The shape of the liquid-surface near the solid shall be
Faraday's 2nd law states that mass deposited on the electrode is directly proportional to
When an air bubble of radius 'r' rises from the bottom to the surface of a lake, its radius becomes 5r/4 (the pressure of the atmosphere is equal to the 10 cm height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is