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Magnetism and Matter Test -9

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Magnetism and Matter Test -9
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  • Question 1
    1 / -0
    What is the unit of magnetic flux?
    Solution

  • Question 2
    1 / -0
    According to Curie's law, the magnetic susceptibility of a substance at an absolute temperature T is proportional to -
    Solution
    Curie law $$\chi _{m}\infty \frac{1}{T}$$
  • Question 3
    1 / -0
    A paramagnet magnet behaves like a solenoid because both contain currents in the form of
    Solution
    A paramagnet magnet behaves like a solenoid because both contain currents in the form of circle. The magnetic field is generated by the circular motion of the electron inside the atom.
  • Question 4
    1 / -0
    An electron moves with a constant speed v along a circle of radius r. The magnetic moment will be (e is the electron charge).

    Solution
    magnetic moment 
    $$= niA$$
    $$= (1)\dfrac{e}{t}\pi r^2$$
    $$= \dfrac{ew}{2\pi}\pi r^2$$         $$(\because t = \dfrac{2\pi}{w})$$
    $$= \dfrac{evr}{2}$$                     $$(\because v = wr)$$   
  • Question 5
    1 / -0
    Two conducting circular loops F and G are kept in a plane on either side of a straight current-carrying wire as shown in the figure below.
    If the current in the wire decreases in magnitude, the induced current in the loops will be

    Solution
    The magnetic field above the wire is out of the plane. This flux is decreasing and should be compensated by the current in the loop F and so the current in loop F will be anti-clockwise. For loop G the situation is opposite
  • Question 6
    1 / -0
    If the angular momentum of an electron of charge $$e$$, revolving in a circular orbit is $$L$$, then its magnetic moment is (Given mass of electron $$=m$$)
    Solution
    angular momentum 
    $$L = mVr \Rightarrow \dfrac{L}{m} = Vr =\omega r^2$$
    magnetic moment $$= i A$$
    $$= \dfrac{e}{T}\pi r^2$$

    $$= \dfrac{e\omega}{2\pi}\pi r^2$$   $$(\because T = \dfrac{2\pi}{\omega})$$

    $$= \dfrac{e\omega r^2}{2}$$

    $$= \dfrac{e}{2}\times \dfrac{L}{m}$$

    $$= \dfrac{eL}{2m}$$
  • Question 7
    1 / -0
     Magnetic field lines :
    Solution

  • Question 8
    1 / -0
    The force with which a magnet attracts objects like iron is called ....................... .
    Solution
    The force which attracts objects like iron is called magnetic force.
    The force of attraction or repulsion which are present between two magnetic materials is known as magnetic force iron is a ferromagnetic materials.
    Hence, option : B.
  • Question 9
    1 / -0
    The magnetising field required to be applied in opposite direction to reduce residual magnetism to zero is called
    Solution
    The coercivity is the intensity of the applied magnetic field required to reduce the magnetization of that material to zero.
  • Question 10
    1 / -0
    The magnetic moment of an electron with orbital angular momentum $$J$$ will be :
    Solution
    Angular momentum $$J= m\omega r^2$$ where $$\omega$$ is the angular velocity$$, r$$ is the radius of the orbit

    Magnetic moment $$\mu = iA=\dfrac{e\omega}{2\pi}\pi r^2$$
    $$ \therefore \dfrac{\mu}{J} = \dfrac{\dfrac{e\omega}{2\pi}\pi r^2}{m\omega r^2}=\dfrac{e}{2m}$$
    $$ \Rightarrow \vec{ \mu }= \dfrac{e}{2m}\vec{J}$$
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