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Two particles of masses 1kg and 3kg have position vectors and respectively. The centre of mass has a position vector
Energy needed to establish an alternating current I in a coil of self inductance L is
E = 1/2 LI^{2}
An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 ms^{−1} and 2 kg second part moving with a velocity of 8 ms^{−1} . If the third part flies off with a velocity of 4 ms^{ −1} , its mass would be:
If an unchanged capacitor is charged by connecting it to a battery, then the amount of energy lost as heat is
300 Joule of work is done in sliding a 2 kg. block on an inclined plane to a height of 10 meters. Taking value of acceleration due to gravity 'g' to be 10 m/s^{2}, work done against friction is
Work done in lifting 2 kg mass upto height 10 metres is given by
W = mgh
= 2 x 10 x 10 = 200 J
Work done against friction
= 300  200 = 100 joule
A current carrying coil when freely suspended will allign itself
The temperature of a body falls from 50^{o}C to 40^{o}C in 10 minutes. If the temperature of the surroundings is 20^{o}C Then temperature of the body after another 10 minutes will be
A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be
Which of the following equations is definitely wrong?
A block of metal weighing 2 kg is resting on a frictionless plane. It is struck by a jet releasing water at a rate of 1kg/sec and at a speed of 5 m/sec. The initial acceleration of the block will be
The potential energy of a particle executing simple harmonic motion from a distance x from its equilibrium position is
Two projectiles are fired at different angles with the same magnitude of velocity, such that they have the same range. At what angles they might have been projected?
For equal range, the particle should either be projected at an angle θ or (90  θ)
If î denotes a unit vector along incident light, r̂ a unit vector along refracted ray into medium of refractive index μ and n̂ a unit vector normal to the boundary of the media, directed towards incident medium, then the law of refraction can be written as
Consider the two following statements A and B and identify the correct choice even in the answers (A) Duddells thermogalvanometer is suitable to measure direct current only (B) Thermopile can measure temperature differences of the order of 10⁻^{3} ^{o}C
An electric kettle takes 4 A current at 220 V. How much time will it take to boil 1 kg of water from room temperature 20^{o}C ? The temperature of boiling water is 100^{o}C
Heat given to a body which rises its temperature by 1^{o}C is
The force F on a sphere of radius 'a' moving in a medium with velocity 'V' is given by F = 6 π η aV. The dimensions of η are
A block of mass 10 kg is moving in xdirection with a constant velocity of 10 m−s⁻^{1}. It is subjected to a retarding force F = 0.1x Jm⁻^{1} during its travel from x = 20 m to x = 30 m. Its final kinetic energy will be
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