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Magnetism and Magnetic Effects of Electric Current Model Question Paper

12th Standard

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Physics

Time : 00:45:00 Hrs
Total Marks : 50
    5 x 1 = 5
  1. A particle having mass m and charge q accelerated through a potential difference V. Find the force experienced when it is kept under perpendicular magnetic field \(\vec { B } \).

    (a)

    \(\sqrt { \frac { 2{ q }^{ 3 }BV }{ m } } \)

    (b)

    \(\sqrt { \frac { { q }^{ 3 }{ B }^{ 2 }V }{ 2m } } \)

    (c)

    \(\sqrt { \frac { 2{ q }^{ 3 }{ B }^{ 2 }V }{ m } } \)

    (d)

    \(\sqrt { \frac { { 2q }^{ 3 }BV }{ { m }^{ 3 } } } \)

  2. A thin insulated wire forms a plane spiral of N = 100 tight turns carrying a current I = 8 m A (milli ampere). The radii of inside and outside turns are a = 50 mm and b = 100 mm respectively. The magnetic induction at the centre of the spiral is ______.

    (a)

    \(5\mu T\)

    (b)

    \(7\mu T\)

    (c)

    \(8\mu T\)

    (d)

    \(10\mu T\)

  3. A wire of length l carrying a current I along the Y direction is kept in a magnetic field is given by \(\vec { B } =\frac { \beta }{ \sqrt { 3 } } =(\hat { i } +\hat { j } +\hat { k } )T.\) The magnitude of Lorentz force acting on the wire is _____.

    (a)

    \(\sqrt { \frac { 2 }{ { 3 } } } \beta Il\)

    (b)

    \(\sqrt { \frac { 1 }{ { 3 } } } \beta Il\)

    (c)

    \(\sqrt { 2 } \beta Il\)

    (d)

    \(\sqrt { \frac { 1 }{ 2 } } \beta Il\)

  4. The direction of the magnetic force on a positive charge moving in a magnetic field is given by ________________.

    (a)

    thumb rule

    (b)

    left hand rule

    (c)

    right hand rule

    (d)

    cork screw rule

  5. If a current I is flowing in a straight wire parallel to the x-axis and magnetic field is in the y-axis then the wire experiences in _________________.

    (a)

    in Z-direction

    (b)

    in Y- direction

    (c)

    no force

    (d)

    in X- diection

  6. 5 x 2 = 10
  7. Define magnetic flux.

  8. What is magnetic susceptibility?

  9. Compare dia, para and ferro-magnetism.

  10. What is meant by the horizontal component of Earth's magnetic field?

  11. What is magnetic field?

  12. 5 x 3 = 15
  13. Calculate the magnetic flux coming out from closed surface containing magnetic dipole (say, a bar magnet) as shown in figure.

  14. Using the relation \(\overset { \rightarrow }{ B } =\mu _{ ° }(\overset { \rightarrow }{ H+ } \overset { \rightarrow }{ M } )\) show that \({ x }_{ m }={ \mu }_{ r }-{ 1 }\)

  15. In a certain region of space, electric field \(\vec { E } \) and magnetic field \(\vec { B } \) are perpendicular to each other. An electron enters the region perpendicular to the direction of both \(\vec { B } \) & \(\vec { E } \) and moves undeflected. Find the velocity of the electron.

  16. A given galvanometer is to be converted into
    (i) an ammeter
    (ii) a voltmeter.
    In which case will the required resistance be
    (i) least
    (ii) highest and why?

  17. A rectangular current carrying loop placed 2 cm away from a long, street, current - carrying conductors. What is the direction and magnitude of the net force acting on the loop.

  18. 4 x 5 = 20
  19. What is the magnetic field at the centre of the loop shown in figure?

  20. A particle of charge q moves with velocity\(\vec { v } \) along positive y-direction in a magnetic field \(\vec { B } \) .Compute the Lorentz force experienced by the particle
    (a) when magnetic field is along positive y - direction
    (b) when magnetic field points in positive z - direction
    (c) when magnetic field is in zy - plane and making an angle θ with velocity of the particle. Mark the direction of magnetic force in each case

  21. Deduce the expression for the torque \(\vec { \tau } \) when \(\hat { n } \) unit vector n is at an angle 8 with the field.

  22. Two long and parallel street wires carrying current of 2A and 5A in the opposite direction are separated by a distance of 1 cm, Find the nature and magnitude of the magnetic force between them.

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