Choose the correct statement.

  • A
    It is possible for a current loop to stay without rotating in a uniform magnetic field.
  • B
    If a uniform magnetic field exists in a cubical region and zero outside,then it is not possible to project a charged particle from outside into the field so that it describes a complete circle in the field.
  • C
    $A$ moving charged particle can be accelerated by a magnetic field.
  • D
    All of these.

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$A$ loop of irregular shape made of flexible conducting wire carrying a clockwise current is placed in a uniform inward magnetic field,such that its plane is perpendicular to the field. Then the loop:

Two circular coils $1$ and $2$ are made from the same wire,but the radius of the first coil is twice that of the second coil. What is the ratio of the potential difference applied across them so that the magnetic field at their centres is the same?

$A$ mass spectrometer is a device which selects particles of equal mass. An ion with electric charge $q > 0$ and mass $m$ starts at rest from a source $S$ and is accelerated through a potential difference $V$. It passes through a hole into a region of constant magnetic field $\vec B$ perpendicular to the plane of the paper as shown in the figure. The particle is deflected by the magnetic field and emerges through the bottom hole at a distance $d$ from the top hole. The mass of the particle is:

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Match the following and find the correct pairs.
List-$I$List-$II$
$(A)$ Fleming's left hand rule$(i)$ Direction of induced current
$(B)$ Right hand thumb rule(ii) Magnitude and direction of magnetic induction
$(C)$ Biot-Savart law(iii) Direction of force due to magnetic induction
$(D)$ Fleming's right hand rule(iv) Direction of magnetic lines due to current

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