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A capacitor of capacitance C has reactance X. If capacitance and frequency become double, then the capacitive reactance will be
Two deutrons each of mass m fuse to form helium resulting in release of energy E. The mass of helium formed is
A cell of emf 6 V and resistance 0.5 ohm is short circuited. The current in the cell is
A galvanometer of resistance 36 Ω is changed into an ammeter by using a shunt of 4 Ω. The fraction f₀ of total current passing through the galvanometer is
An electron of mass m when accelerated through a potential difference V has de Broglie wavelength λ. The de Broglie wavelength associated with a proton of mass M accelerated through the same potential difference will be
The mass of a particle is 400 times than that of an electron and the charge is double. The particle is accelerated by 5 V. Initially the particle remained in rest, then its final kinetic energy will be
In an LR circuit, the value of L is (0.4/π) henry and the value of R is 30 ohm. If in the circuit, an alternating emf of 200 volt at 50 cycles per second is connected, the impedance of the circuit and current will be
The capacitor of a parallel plate capacitor with no dielectric substance and a separation of 0.4 cm is 2 μF. The separation is reduced to half and it is filled with a substance of dielectric value 2.8. The new capacity of the capacitor is
An electric field is given by Ex = −x^{3} kN/C . The potential of the point (1, 2) if the potential of the point (2, 4) is taken as zero, is
A motorcyclist of mass m is to negotiate a curve of radius r with a speed ν. The minimum value of the coefficient of friction so that this negotiation may take place safely, is
A clock S is based on oscillation of a spring and a clock P is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having the same density as earth but twice the radius
At a common temperture, a block of wood and a block of metal feel equally cold or hot. The temperatures of block of wood and block of metal are
A gas at 300 K, enclosed in a container is placed in a fast moving train. When the train is in motion, then temperature of the gas
A particle of mass M and charge Q moving with velocity ν̅ describes a circular path of radius R when subjected toa uniform transverse magnetic field of induction B. the work done by the field when the particle completes one full circle is
A bar magnet when placed at an angle of 30^{o} to the direction of magnetic field induction of 5*10^{− 5} T , experiences a moment of couple 2.5*10^{− 6} Nm. If the length of the magnet is 5cm its pole strength is:
If iron pieces loaded in a ship, are thrown into the water, then level of water will
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
Two wires of same radius and length are subjected to the same load. One wire is of steel and the other is of copper. If Young's modulus of steel is twice that of copper, then ratio of elastic potential energies stored per unit volume in steel wire to that in copper wire is
Tom and Dick are running forward with the same speed. They are throwing a rubber ball to each other at a constant speed V as seen by the thrower. According to Sam who is standing on the ground the speed of ball is
A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone
A stone of mass m is tied to a string and is moved in a vertical circle of radius r making n revolutions per minute. The total tension in the string when the stone is at its lowest point is
A cold soft drink is kept on the balance. When the cap is open, then the weight
The ability of eye to focus near as well as distant objects is called
A particle, with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force F sin ωt. If the amplitude of the particle is maximum for ω=ω₁ and the energy of the particle is maximum for ω=ω₂ then
A simple pendulum of length 'l' has a maximum angular displacement (θ). The energy of a bob of mass m at the end of the displacement is
The angle of minimum deviation for an incident light ray on an equilateral prism is equal to its refracting angle. The refractive index of its material is
A solid sphere is moving on a horizontal plane. Ratio of its translational K.E. and rotational energy is
An inclined plane makes an angle of 30^{o} with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
Consider the following two statements A and B, and identify the correct choice of given answers. (A) Thermo e.m.f is minimum at neutral temperature of a thermocouple (B)When two junctions made of two different metallic wires are maintained at different temperatures, an electric current is generated in the circuit
A particle performs uniform circular motion with an angular momentum L. If the frequency of particle's motion is doubled and its kinetic energy is halved, the angular momentum becomes
Which of the following can not determine the state of a thermodynamic system
A monoatomic gas (γ = 5/3 ) is suddenly compressed to 1/8 of its original volume adiabatically, then the pressure of the gas will change to
In Huygen's wave theory, the locus of all points oscillating in the same phase is called a
If m is mass, Q is charge and B is magnetic induction, m/BQ has the same dimensions as
T = 1/F
For the constructive interference the path difference between the two interfering waves must be equal to
A string of 7 m length has a mass of 0.035 kg. If tension in the string is 60.5 N, then velocity of a wave in the string is
A sonometer wire is vibrating in the second overtone. It means that there are
A ball moving with speed ν hits another identical ball at rest, The two balls stick together after collision. If specific heat of the material of the balls is S, the temperature rise resulting from the collision is
A 4 kg mass and a 1 kg mass are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is
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