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Magnetism and Matter Test 18

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Magnetism and Matter Test 18
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  • Question 1
    1 / -0
    Mark the correct difference between a permanent magnet and an electromagnet.
    Solution
    Permanent magnet does not require any external electric supply to produce the field. But their magnetic field is normally weaker than that of an electromagnet. Hence, permanent magnets are relatively bulky in size. The strength of the field cannot be varied as per requirement. The field of these magnets are also not everlasting, it will be loosened over a period of time. They also lose their magnetism, if they get subjected to physical shock or vibration. Because of these many disadvantages, the applications of permanent magnet in the field of engineering are quite limited.
  • Question 2
    1 / -0
     Identify the incorrect statement from the following.
    Solution
    The temperature of the magnet is increased its molecules vibrate more violently. As a result the rearranged magnetic molecules of the magnet get out of their aligned position. Hence magnetic strength of a magnet decreases with increasing temperature. If the temperature is further increased the magnetic strength is further decreased and after a certain temperature the entire magnetic properties of a magnet is vanished. The temperature, at which a ferromagnetic material entirely loses its magnetic properties, is referred as Curie point. This temperature is a special characteristic of magnetic material and this is different for different magnetic materials. For example 760C is the Curie point of iron.
  • Question 3
    1 / -0
    The temperature, at which a ferromagnetic material entirely loses its magnetic properties, is referred as
    Solution
    The temperature, at which a ferromagnetic material entirely loses its magnetic properties, is referred as Curie point. This temperature is a special characteristic of magnetic material and this is different for different magnetic materials. For example 760$$^o$$C is the Curie point of iron.
  • Question 4
    1 / -0
    Why the applications of permanent magnet in the field of engineering are quite limited?
    Solution
    Permanent magnet does not require any external electric supply to produce the field. But their magnetic field is normally weaker than that of an electromagnet. Hence, permanent magnets are relatively bulky in size. The strength of the field cannot be varied as per requirement. The field of these magnets are also not everlasting, it will be loosened over a period of time. They also lose their magnetism, if they get subjected to physical shock or vibration. Because of these many disadvantages, the applications of permanent magnet in the field of engineering are quite limited.
  • Question 5
    1 / -0
    An electron ofcharge e moves in a circular orbit ofradius r around the nucleus at a frequency v. The magnetic moment associated with the orbital motion of the electron is 
    Solution

  • Question 6
    1 / -0
    Which one of the following statement is not correct about the magnetic field?
  • Question 7
    1 / -0
    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. 
    Solution
    Lenz's law (that the direction of induced emf is always such as to oppose the change that cause it) is direct consequence of the law of conservation of energy, 
  • Question 8
    1 / -0
    An electron in a circular orbit of radius $$0.05\ nm$$ performs $${ 10 }^{ 16 }$$ revolutions per second. The magnetic moment due to this rotation of electron is (in $${ Am }^{ 2 }$$):
    Solution
    Given : $$\nu = 10^{16}$$  rev. per sec               
                 $$r  =0.05$$  $$ nm  = 5 \times 10^{-11}$$ $$m$$
    Area of the circular orbit            $$A = \pi r^2 = 3.14 \times  (5 \times 10^{-11})^2  = 7.85 \times 10^{-21}$$  $$m^2$$
    Magnetic moment         $$\mu  =IA$$    where       $$I = e\nu$$
    $$\implies$$   $$\mu = e\nu A =1.6\times 10^{-19}  \times 10^{16} \times 7.85 \times 10^{-21}$$
    $$\mu = 1.26 \times 10^{-23}$$   $$Am^2$$
  • Question 9
    1 / -0
    The ratio of magnetic dipole moment of an electron of charge $$e$$ and mass $$m$$ in Bohr's orbit in hydrogen atom to its angular momentum is
    Solution
    Angular momentum,

    $$L = {m}_{e}vr$$                     .........(i)

    Therefore, orbital motion of electron is equivalent to a current,

    $$I = e\left({1}/{T}\right)$$

    Period of revolution of electron is given by

    $$T = \dfrac{2\pi r}{v}$$

    $$\therefore            I = e\left(\dfrac{1}{{2\pi r}{v}}\right) = \dfrac{ev}{2\pi r}$$

    Area of electron orbit, $$A = \pi {r}^{2}$$

    Magnetic dipole moment of the atom

    $$M = \dfrac{ev}{2\pi r} \times \pi {r}^{2} = evr$$

    Using equation (i), we have

    $$M = \left(\dfrac{e}{2{m}_{e}}\right)L$$
  • Question 10
    1 / -0
    Why is an electromagnet more advantageous?
    Solution
    An electromagnet is a temporary strong magnet made from a piece of soft iron when current flows in the coil wound around it. It is an artificial magnet and loses its magnetism when the current is removed. The magnitude of magnetic field can be altered by increasing or decreasing the current. Also the polarity can be reversed by changing the direction of current. Thus all these properties make it more advantageous.
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