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Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform mag. field and desoribe circular path of radius R1 and R2 respectively. The ratio of mass of X to that of Y is
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A particle of mass m and charge q moves with a constant velocity `v` along the positive x - direction. It enters a region containing a uniform magnetic field B directed along the negative z-direction, extending from x = a to x = b. The minimum value of required so that the particle can just enter the region x > b
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If the charge on the body is `1 nC`, then how many electrons are present on the
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An electric dipole with dipole moment `4 xx 10^(-9)C-m` is aligned at 30° with the direction of a uniform electric field of magnitude `5 xx 10^4` N/C. Calculate the magnitude of the torque acting on the
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Electric Dipole An electric dipole is a pair of point charges with equal magnitude and opposite in sign separated by a very small distance. The mid-point of locations of `-q and q` is called the centre of the dipole. The strength of an electric dipole is measured by a vector quantity known as electric dipole moment `(p)` which is the product of the charge `(q)` and separation between the charges `(2l)`.In most molecules, the centres of positive charges and of negative charges lie at the same place, hence their dipole moment is zero. `e.g. CO_2, CH_4`. However, they develop a
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The variation between `V -i` for heating filament is shown by which
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A potentiometer circuit is set up as shown. The potential gradient across the potentiometer wire, is `k` volt/cm and the ammeter, present in the circuit, reads `1.0` A when two way key is switched off. The balance points, when the key between the terminals (i) 1 and 2 (ii) 1 and 3, is plugged in, are found to be at lengths `l_1 cm and l_2 cm`, respectively. The magnitudes of the resistors `R and X` in ohm, are then, respectively equal
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During charging of a cell terminal voltage i s ................ than emf of
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A rectangular loop of sides `10 cm and 5 cm` carrying a current `I` of `12 A` is placed in different orientations as shown in the figures.I. II.III. IV. If there is a uniform magnetic field of `0.3 T` in the positive `z`-direction, in which orientations the loop would be in (i) stable equilibrium and (ii) unstable
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Lorentz Force and Its Effects A charged particle moving in an external magnetic field experiences a force, which is called Lorentz force, i.e. `F=q(v xx B)`,where `q` is the charge on the particle and v is the velocity of the particle. The direction of the force is given by the cross product of velocity vector and magnetic field vector at any time.The charge particle travels in a special trajectory called helical path. Because the force is always perpendicular to the velocity vector, the magnetic field can do no work on an isolate charge. Hence, the linear velocity always remains the
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Lorentz Force and Its Effects A charged particle moving in an external magnetic field experiences a force, which is called Lorentz force, i.e. `F=q(v xx B)`,where `q` is the charge on the particle and v is the velocity of the particle. The direction of the force is given by the cross product of velocity vector and magnetic field vector at any time.The charge particle travels in a special trajectory called helical path. Because the force is always perpendicular to the velocity vector, the magnetic field can do no work on an isolate charge. Hence, the linear velocity always remains the
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Moving Coil GalvanometerMoving coil galvanometer operates on Permanent Magnet Moving Coil (PMMC) mechanism and was designed by the scientist D’arsonval.Moving coil galvanometers are of two types (i) Suspended coil (ii) Pivoted coil type or tangent galvanometer.Its working is based on the fact that when a current carrying coil is placed in a magnetic field, it experiences a torque. This torque tends to rotate the coil about its axis of suspension in such a way that the m agnetic flux passing through the coil is maximum .A moving coil galvanometer is an instrument,
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Electron is revolving around a nucleus in circular orbit of radius `1 A` with a speed `4 xx 10^4` m/s. Magnetic moment produced due to rotation of electron
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Earth’s Magnetic FieldThe magnetic field lines of the earth resemble that of a hypothetical magnetic dipole located at the centre of the earth. The axis of the dipole is presently tilted by approximately 11.3° with respect to the axis of rotation of the earth.The pole near the geographic north pole of the earth is called the north magnetic pole and the pole near the geographic south pole is called south magnetic pole.A bar magnet is placed north-south with its north pole due north. The points of zero magnetic field will be in which direction from centre of
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Gauss Law in Magnetism We can write Gauss’s law for magnetostatics as `intB.dA=mu_0m`, where, `intB •dA`. is the magnetic flux and m is the net magnetic pole strength inside a closed surface. It was found that, magnetic flux through a closed surface is always zero, thus we reach at a conclusion that magnetic monopoles do not exist. A bar magnet always attain north-south poles no matter how many times it is cut into pieces.The presence of magnetic monopoles is ruled out
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An infinitely long cylinder is kept parallel to a uniform magnetic field B directed along positive Z-axis. The direction of induced current as seen from the Z-axis will
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The mutual inductance `M_(12)` of coil 1 with respect to coil
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Induced CurrentThe steady current in the coil `C_2` as shown below produces a steady magnetic field. As coil `C_2` is moved towards the coil `C_1`, the galvanometer shows a deflection. This indicates that electric current is induced in coil `C_1`. When `C_2` is moved away, the galvanometer shows a deflection again, but this time in the opposite direction. This deflection is based upon the Faraday’s law of electromagnetic induction.When the coil `C_2` is held fixed and `C_1` is moved ,
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Assertion: Average power in an AC circuit is given by `P=I_(rms)^2 R` . Reason: In one full cycle, net power is dissipated not only in a
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L-C Oscillations When a capacitor is supplied with an AC circuit, it gets charged.When this charged capacitor is connected with an inductor, current flows through inductor, giving rise to magnetic flux. Hence, induced emf is produced in the circuit. Due to this, the charge on the capacitor decreases and an equivalent amount of energy is stored in the inductor in the form of magnetic Field.A capacitor of `1muF` is charged with 0.01C of charge. The energy stored in it
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