(A) Statement-$I$ is true. When a conducting rod of length $l$ moves with velocity $v$ in a uniform magnetic field $B$ such that $v$,$B$,and $l$ are m

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Statement $I$ is true but statement $II$ is false.

(A) Statement-$I$ is true. When a conducting rod of length $l$ moves with velocity $v$ in a uniform magnetic field $B$ such that $v$,$B$,and $l$ are mutually perpendicular,a motional electromotive force $(EMF)$ is induced across the ends of the rod given by $\varepsilon = Blv$. This creates a potential difference.Statement-$II$ is false. In a metallic conductor,only free electrons are available to move. The positive ions are fixed in the crystal lattice structure and are not free to move through the conductor.

Class 12 Physics Electromagnetic Induction Motional EMI (Induced Parameter)

Medium

Statement-$I$: When a conducting rod moves in a uniform transverse magnetic field with a uniform speed which is perpendicular to its length,then a potential difference may develop across its ends.
Statement-$II$: In any conductor,free electrons and free positive ions are available.

A
Statement $I$ is true but statement $II$ is false.
B
Statement $I$ is false but statement $II$ is true.
C
Both statement $I$ and statement $II$ are true.
D
Both statement $I$ and statement $II$ are false.

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Electromagnetic Induction

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Motional EMI (Induced Parameter)

The radius of a circular loop placed in a perpendicular uniform magnetic field is increasing at a constant rate of $r_0 \ m s^{-1}$. If at any instant the radius of the loop is $r$,then the emf induced in the loop at that instant will be:

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$A$ rectangular coil $ABCD$ is rotated anticlockwise with a uniform angular velocity about the axis shown in the diagram below. The axis of rotation of the coil as well as the magnetic field $B$ are horizontal. The induced $e.m.f.$ in the coil would be maximum when

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$A$ conducting rod $AC$ of length $4l$ is rotated about a point $O$ in a uniform magnetic field $\vec B$ directed into the paper. $AO = l$ and $OC = 3l$. Then:

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$A$ straight line conductor of length $0.4 \ m$ is moved with a speed of $7.0 \ ms^{-1}$ perpendicular to a magnetic field of intensity $0.8 \ Wb \ m^{-2}$. The induced e.m.f. across the conductor is (in $V$)

DifficultMHT CET 2026

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$A$ wire loop is rotated in a magnetic field. The frequency of change of direction of the induced $e.m.f.$ is

EasyAIPMT 2013

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Statement-$I$: When a conducting rod moves in a uniform transverse magnetic field with a uniform speed which is perpendicular to its length,then a potential difference may develop across its ends.Statement-$II$: In any conductor,free electrons and free positive ions are available.

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The radius of a circular loop placed in a perpendicular uniform magnetic field is increasing at a constant rate of $r_0 \ m s^{-1}$. If at any instant the radius of the loop is $r$,then the emf induced in the loop at that instant will be:

$A$ rectangular coil $ABCD$ is rotated anticlockwise with a uniform angular velocity about the axis shown in the diagram below. The axis of rotation of the coil as well as the magnetic field $B$ are horizontal. The induced $e.m.f.$ in the coil would be maximum when

$A$ conducting rod $AC$ of length $4l$ is rotated about a point $O$ in a uniform magnetic field $\vec B$ directed into the paper. $AO = l$ and $OC = 3l$. Then:

$A$ straight line conductor of length $0.4 \ m$ is moved with a speed of $7.0 \ ms^{-1}$ perpendicular to a magnetic field of intensity $0.8 \ Wb \ m^{-2}$. The induced e.m.f. across the conductor is (in $V$)

$A$ wire loop is rotated in a magnetic field. The frequency of change of direction of the induced $e.m.f.$ is

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Statement-$I$: When a conducting rod moves in a uniform transverse magnetic field with a uniform speed which is perpendicular to its length,then a potential difference may develop across its ends.
Statement-$II$: In any conductor,free electrons and free positive ions are available.