Self Studies

Magnetism and M...

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  • Question 1
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    A bar magnet of magnetic moment $$M$$ is divided into '$$n$$' equal parts by cutting parallel to length. Then one part is suspended in a uniform magnetic field of strength $$2T$$ and held making an angle $$60^{0}$$ with the direction of the field. When the magnet is released, the kinetic energy of the magnet in the equilibrium position is:

  • Question 2
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    Assertion : Lenz's Law violates the principle of conservation of energy
    Reason : Induced emf always opposes the change in magnetic flux responsible for its production.

  • Question 3
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    The least value of magnetic moment (where $$m$$ is the mass of the electron, $$e$$ is the charge of electron) is :

  • Question 4
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    The given figure shows planar loops of different shapes moving out of or into a region of a magnetic field, which is directed normal to the plane of the loop away from the reader. Then the direction of induced current in each loop using Lenz's law will be 


    a). The magnetic flux through the rectangular loop abcd increases, due to the motion of the loop into the region of magnetic field. The induced current must flow along the path bcdab so that it opposes the increasing flux.

    b) Due to the outward motion, magnetic flux through the triangular loop abc decreases due to which the induced current flows along bacb,
    so as to oppose the change in flux.

    c) As the magnetic flux decreases, due to motion of the irregular shaped loop abcd out of the region of magnetic field, the induced current flows
    along cdabc, so as to oppose change in flux. 

    Note that there are no induced current as long as the loops are completely inside or outside the region of the magnetic field.

    The correct statements are

  • Question 5
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    Directions For Questions

    In the figure shown the loop placed in the plane of the paper has radius '$$R$$', self inductance '$$L$$' and zero resistance. A uniform magnetic field $$B=B_0  \sin \omega t$$ is applied ($$B_0$$ and $$\omega$$ are positive constants) normal to the plane of the paper. Initially the loop has zero current.

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    Direction of current in the loop at $$t=\dfrac{\pi}{3 \omega}$$ :

  • Question 6
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    Two coils carrying current in opposite direction are placed co-axially with centres at some finite separation. If they are brought close to each other then current flowing in them should

  • Question 7
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    A small circular loop is suspended from a insulating thread. Another co-axial circular loop carrying a current $$I$$ and having radius much larger than the first loop starts moving towards the smaller loop. The smaller loop will :

  • Question 8
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    The ring $$B$$ is coaxial with a solenoid $$A$$ as shown in figure. As the switch $$S$$ is closed at $$t=0$$, the ring $$B$$

  • Question 9
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    Directions For Questions

    Electrical resistance of certain material, known as superconductors, changes abruptly from a nonzero value to zero as their temperature is lowered below a critical temperature $$T_c(0)$$. An interesting property of superconductors is that their critical temperature becomes smaller than $$T_c(0)$$ if they are placed in a magnetic field, i.e, the critical temperature $$T_c(B)$$ is a function of the magnetic field strength B. The dependence of $$T_c(B)$$ on B is shown in fig.

    ...view full instructions

    In the graphs below, the resistance R of a superconductor is shown as a function of its temperature T for two different magnetic fields $$B_1$$ (solid line) and $$B_2$$ (dashed line). If $$B_2$$ is larger than $$B_1$$, which of the following graphs shows the correct variation of R and T in these fields?

  • Question 10
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    Two identical conductors $$P$$ and $$Q$$ are placed on two frictionless rails $$R$$ and $$S$$ in a uniform magnetic field directed into the plane. If $$P$$ is moved in the direction shown in figure with a constant speed, then rod $$Q$$.

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