In a series LCR circuit, resistance R = 10Ω and the impedance Z = 20Ω. The phase difference between the current and the voltage is
The half life period of a radioactive element X is same as the mean life time of another radioactive element Y. Initially both of them have the same number of atoms. Then
When the current in a coil is changed from 10 A in one direction to 10 A in opposite direction in 0.5 s, an e.m.f. of 1 V is induced in it. Selfinductance of the coil is
A wheel starts from rest and rotates through 1000 radians in 10 s under the action of a constant torque. If the moment of inertia of the wheel is 4 kg m^{2}, the torque acting on the wheel is
The reading of a high resistance voltmeter when a cell is connected across it is 2.2 V. When the terminals of the cell are also connected to a resistance of 5 Ω the voltmeter reading drops to 1.8 V. Find the internal resistance of the cell
A body of mass 2Kg moving with a velocity of 6 ms^{1} strikes inelastically another body of same mass at rest. The amount of the heat evolved during collision is
A proton and an alpha particle are accelerated through a potential difference of 100 V. The ratio of the wavelength associated with the proton to that associated with an alpha particle is
The reason for the change in shape of a regular body is
For a square wave response (with respect to its maximum response), the rise time of a transistor is defined as the time duration in which its response varies:
An electric dipole is kept in a uniform electric field. It experiences
A cube of weight 10N rests on a rough inclined plane of slope 3 in 5. The coefficient of friction is 0.6. The minimum force necessary to start the cube moving up the plane is
The lengths and radii of two rods made of same material are in the ratios 1:2 and 2:3 respectively. If the temperature difference between the ends for the two rods be the same, then in the steady state, the amount of heat flowing per second through them will be in the ratio
Where will it be profitable to purchase one kilograme sugar ?
The ratio of mean kinetic energy of hydrogen and oxygen at a given temperature is
A molecule of mass m of an ideal gas collides with the wall of a vessel with a velocity ν and returns back with the same velocity. The change in the momentum of molecule is
A circular coil of radius 2R is carrying current i. The ratio of magnetic field at the centre of the coil and at a point at a distance 6R from the centre of the coil on the axis of the coil is
At a certain place, the horizontal component of earth's magnetic field is 3 times the vertical component. The angle of dip at that place is
Bernoulli's theorem is based on the law of conservation of
The coordinates of a moving particle at any time are given by x = at^{2}. The speed of the particle at any moment is
A particle revolves round a circular path. The acceleration of the particle is
A shell initially at rest explodes into two pieces of equal mass. The two pieces will
A particle of mass 40 gram executes a simple harmonic motion of amplitude 2.0 cm. If the time period is 0.20 seconds, the total mechanical energy of the sytem is
A particle of mass m is projected with velocity υ making an angle of 45° with the horizontal. The magnitude of the angular momentum of the particle about the point of projection when the particle is at its maximum height is (where g = acceleration due to gravity)
Water rises to a height h, in a capillary tube, when dipped in water. If the height of this capillary tube, above the water surface is less than h, then:
The refractive index of a certain glass is 1.5, for a light of wavelength 6000 Å. When light (c = 3 x 10^{8} ms^{− 1}) passed through this glass, its wavelength is
A 1 kg stationary bomb is exploded in three parths having mass 1:1:3 respectively. Parts having same mass move in perpendicular directions with velocity 30 m/s, then the velocity of bigger part will be
A particle is displaced 3m towards east, then 4m towards west, and then 5m in the vertical direction. Its displacement from the initial position is
A liquid does not wet the sides of a solid, if the angle of contact is
If a power of 100 W is being supplied across a potential difference of 200 V, current flowing is
When the volume of a saturated vapour is decreased, its pressure
A liquid of mass m and specific heat S is heated to a temperature T. Another liquid of mass m/2 and specific heat 2S is heated to a temperature 2T. If these two liquids are mixed, the resultant temperature of the mixture
Which one of the following does not have the same dimensions
If a source of light is moving away from a stationary observer, then frequency of light wave appears to change because of
Equation of a stationary wave is y = 10 sin πx/4 cos 20 π t Distance between two consecutive nodes is
The quantities remaining constant in a collision are
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