A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B. It is then bent into a
circular coil of n turns. The magnetic field at the centre of this coil of n turns will be:
1. nB
2. n2B
3. 2nB
4. 2n2B
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In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential V and then made to describe semi-circular paths of radius R using a magnetic field B. If V and B are kept constant, the ratio , will be proportional to:
1.
2.
3.
4. R
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1. | \(40~ \Omega\) | 2. | \(25~ \Omega\) |
3. | \(250~ \Omega\) | 4. | \(500~ \Omega\) |
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A square current-carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is , the net force on the remaining three arms of the loop is:
1. 3
2. -
3. -3
4.
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An electron is moving in a circular path under the influence of a transverse magnetic field of 3.57 x 10-2 T. If the value of e/m is 1.76 x 1011 C/kg, the frequency of revolution of the electron is:
1. 1 GHz
2. 100 MHz
3. 62.8 MHz
4. 6.28 MHz
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Two circular coils 1 and 2 are made from the same wire but the radius of the 1st coil is twice that of the 2nd coil. What is the ratio of the potential difference applied across them so that the magnetic field at their centres is the same?
1. 3
2. 4
3. 6
4. 2
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An alternating electric field of frequency , is applied across the dees (radius=R) of a cyclotron that is being used to accelerate protons (mass=m). The operating magnetic field B, used in the cyclotron and the kinetic energy (K) of the proton beam, produced by it, are given by:
1.
2.
3.
4.
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1. speed will decrease
2. speed will increase
3. will turn towards the left of the direction of motion
4. will turn towards tight of direction a motion
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A straight conductor carrying current I splits into two parts as shown in the figure. The radius of the circular loop is R. The total magnetic field at the centre P of the loop is,
(1) zero
(2)
(3)
(4)
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