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Moving Charges and Magnetism Test - 50

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Moving Charges and Magnetism Test - 50
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  • Question 1
    1 / -0
    The magnetic effect of electric current was discovered by
    Solution

  • Question 2
    1 / -0
    Two charges of same magnitude move in two circles of radii $$R_1\,  =\, R\, and\,  R_2\, =\, 2R$$ in a region of constant uniform magnetic field $$\vec{B}$$.
    The work $$W_1\,  and\, W_2$$ done by the magnetic field in the Two cases, respectively are such that
    Solution
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  • Question 3
    1 / -0
    A magnetic field can exert force on a
    Solution
    $$\textbf{Hint:}$$ Use the magnetic force on the magnet and charge in a magnetic field.
    $$\textbf{Explanation:}$$
    $$\bullet$$The force on a charged particle is given by 
    $$\vec{F}=q(\vec{v}\times \vec{B})$$
     where $$\vec{v}$$ is the velocity of charged particle placed in magnetic field
    $$\bullet$$Also magnetic field exerts force on a a magnet, independent of its motion, due to interaction with the permanent magnetic field around it.
    $$\textbf{Hence option D correct}$$
  • Question 4
    1 / -0
    A proton and an $$\alpha$$ particle moving with the same speed enter a uniform magnetic field. The proton enters at right angles to the field. The magnetic force $$F$$ on the particles will be the same when the direction of motion of a particle is ________.
    Solution
    $$F=Bqv sin \theta$$
    For Proton $$\theta = 90^{\circ}, F_1 = Bqv$$ newton
    For $$\alpha - $$particle charge is $$2q, F_2 = B \times 2q \times v$$ $$sin \theta$$
    But $$F_1 = F_2$$
    i.e., $$Bqv = 2Bqv$$ $$sin \theta$$
    $$\displaystyle \therefore sin\theta = \frac {1}{2}, \theta = 30^{\circ}$$
  • Question 5
    1 / -0
    When the free ends of a tester are dipped into a solution, the magnetic needle shows deflection due to:
    Solution
    When the free ends of a tester are dipped into a solution, the circuit gets complete and current starts to flow in wires.The magnetic needle shows deflection due to magnetic effect of current which states that an electric current is always associated with magnetic field around it.Due to this magnetism the needle is deflected.
  • Question 6
    1 / -0
    When a proton moves in a uniform magnetic field, the momentum change but its kinetic energy does not change because :
    Solution
    The magnetic force exerted will be perpendicular to the direction of motion of the proton. As we know when when force acting is perpendicular to the direction of moving charge, work done will be zero. It means kinetic energy does not change. The force is able to change the direction (velocity) of the proton but not its speed (magnitude). Thus momentum and velocity changes.
  • Question 7
    1 / -0
    The pattern of the magnetic field around a conductor due to an electric current flowing through it depends on
    Solution
    We know that;
    $$\vec B=\dfrac{\mu_0}{4\pi}\int { \dfrac { Idl\times {\vec  r  } }{ \left| { r }^{ 1 } \right| ^{ 3 } }  } $$
    Where, $$\vec B$$ is magnetic field, $$\vec I$$ is current.
    Thus magnitude of $$\vec B$$ depend on I, but pattern of magnetic field depend on shape of conductor as the direction of magnetic field is obtained used Cut finger rule i.e, pointing right hand thumb in current direction, Curl fingers describes direction thus pattern.
  • Question 8
    1 / -0
    If a current carrying wire carries 10A current then the magnetic field is X. Now the current in the wire increases to 100A, them magnetic field in the wire becomes
    Solution
    The Magnitude of magnetic field produced by a straight current carrying wire at a given point is
    A) directly proportional to the current passing in the wire and
    B) inversely proportional to the distance of that point from the wire.
  • Question 9
    1 / -0
    What is shape of magnet in moving coil galvanometer to make the radial magnetic field?
    Solution
    The shape of magnet in moving coil galvanometer to make the radial magnetic field is concave magnets.
  • Question 10
    1 / -0
    Positively charged particles are projected into a magnetic field. If the direction of the magnetic field is along the direction of motion of the charge particle, the particles get
    Solution
    The direction of magnetic field is along the direction of motion of the charge particles, so angle will be $$0^{\circ}$$.
    $$\therefore$$ Force $$F = qvB\sin \theta$$
    $$= qvB\sin 0$$
    $$= 0 (\because \sin 0 = 0)$$
    So, there will be no change in the velocity.
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