154676 A metal disc of radius $a=10 \mathrm{~cm}$ rotates with a constant angular speed of $\omega=200 \mathrm{rad} / \mathrm{s}$ about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field, $B=5 \mathrm{mT}$ directed perpendicular to the disc, is

154677 A wire loop enclosing a semi-circle of radius ' $R$ ' is located on the boundary of a uniform magnetic field of induction $\vec{B}$. At time $t=0$, the loop is set into rotation with angular velocity ' $\omega$ ' about its axis $O$, coinciding with a line vector $\vec{B}$ on the boundary as shown in the figure. The emf induced in the loop is

154678 A conducting rod of length $L$ lies in $X Y$-plane and makes an angle $30^{\circ}$ with $\mathrm{X}$-axis. One end of the rod lies at origin initially. A magnetic field also exists in the region pointing along positive Z-direction. The magnitude of the magnetic field varies with $Y$ as $B_{0}\left(\frac{Y}{L}\right)^{3}$, where, $B_{0}$ is a constants. At some instant the rod starts moving with a velocity $v_{0}$ along $X$-axis. The emf induced in the rod is

154679 A rectangular loop of wire is placed in the $\mathrm{XY}$ plane with its side of length $3 \mathrm{~cm}$ parallel to the $X$-axis and the side of length $4 \mathrm{~cm}$ parallel to the $\mathrm{Y}$-axis. It is moving in the positive $\mathrm{X}$ direction with the speed $10 \mathrm{~cm} / \mathrm{s}$. A magnetic field exists in the space with its direction parallel to the Z-axis. The field decreases by 2 $\times 10^{-3} \mathrm{~T} / \mathrm{cm}$ along the positive $\mathrm{X}$-axis and increases in time by $2 \times 10^{-2} \mathrm{~T} / \mathrm{s}$. The induced emf in the wire is

154676 A metal disc of radius $a=10 \mathrm{~cm}$ rotates with a constant angular speed of $\omega=200 \mathrm{rad} / \mathrm{s}$ about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field, $B=5 \mathrm{mT}$ directed perpendicular to the disc, is

154677 A wire loop enclosing a semi-circle of radius ' $R$ ' is located on the boundary of a uniform magnetic field of induction $\vec{B}$. At time $t=0$, the loop is set into rotation with angular velocity ' $\omega$ ' about its axis $O$, coinciding with a line vector $\vec{B}$ on the boundary as shown in the figure. The emf induced in the loop is

154678 A conducting rod of length $L$ lies in $X Y$-plane and makes an angle $30^{\circ}$ with $\mathrm{X}$-axis. One end of the rod lies at origin initially. A magnetic field also exists in the region pointing along positive Z-direction. The magnitude of the magnetic field varies with $Y$ as $B_{0}\left(\frac{Y}{L}\right)^{3}$, where, $B_{0}$ is a constants. At some instant the rod starts moving with a velocity $v_{0}$ along $X$-axis. The emf induced in the rod is

154679 A rectangular loop of wire is placed in the $\mathrm{XY}$ plane with its side of length $3 \mathrm{~cm}$ parallel to the $X$-axis and the side of length $4 \mathrm{~cm}$ parallel to the $\mathrm{Y}$-axis. It is moving in the positive $\mathrm{X}$ direction with the speed $10 \mathrm{~cm} / \mathrm{s}$. A magnetic field exists in the space with its direction parallel to the Z-axis. The field decreases by 2 $\times 10^{-3} \mathrm{~T} / \mathrm{cm}$ along the positive $\mathrm{X}$-axis and increases in time by $2 \times 10^{-2} \mathrm{~T} / \mathrm{s}$. The induced emf in the wire is

154676 A metal disc of radius $a=10 \mathrm{~cm}$ rotates with a constant angular speed of $\omega=200 \mathrm{rad} / \mathrm{s}$ about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field, $B=5 \mathrm{mT}$ directed perpendicular to the disc, is

154677 A wire loop enclosing a semi-circle of radius ' $R$ ' is located on the boundary of a uniform magnetic field of induction $\vec{B}$. At time $t=0$, the loop is set into rotation with angular velocity ' $\omega$ ' about its axis $O$, coinciding with a line vector $\vec{B}$ on the boundary as shown in the figure. The emf induced in the loop is

154678 A conducting rod of length $L$ lies in $X Y$-plane and makes an angle $30^{\circ}$ with $\mathrm{X}$-axis. One end of the rod lies at origin initially. A magnetic field also exists in the region pointing along positive Z-direction. The magnitude of the magnetic field varies with $Y$ as $B_{0}\left(\frac{Y}{L}\right)^{3}$, where, $B_{0}$ is a constants. At some instant the rod starts moving with a velocity $v_{0}$ along $X$-axis. The emf induced in the rod is

154679 A rectangular loop of wire is placed in the $\mathrm{XY}$ plane with its side of length $3 \mathrm{~cm}$ parallel to the $X$-axis and the side of length $4 \mathrm{~cm}$ parallel to the $\mathrm{Y}$-axis. It is moving in the positive $\mathrm{X}$ direction with the speed $10 \mathrm{~cm} / \mathrm{s}$. A magnetic field exists in the space with its direction parallel to the Z-axis. The field decreases by 2 $\times 10^{-3} \mathrm{~T} / \mathrm{cm}$ along the positive $\mathrm{X}$-axis and increases in time by $2 \times 10^{-2} \mathrm{~T} / \mathrm{s}$. The induced emf in the wire is

154676 A metal disc of radius $a=10 \mathrm{~cm}$ rotates with a constant angular speed of $\omega=200 \mathrm{rad} / \mathrm{s}$ about its axis. The potential difference between the centre and the rim of the disc under a uniform magnetic field, $B=5 \mathrm{mT}$ directed perpendicular to the disc, is

154677 A wire loop enclosing a semi-circle of radius ' $R$ ' is located on the boundary of a uniform magnetic field of induction $\vec{B}$. At time $t=0$, the loop is set into rotation with angular velocity ' $\omega$ ' about its axis $O$, coinciding with a line vector $\vec{B}$ on the boundary as shown in the figure. The emf induced in the loop is

154678 A conducting rod of length $L$ lies in $X Y$-plane and makes an angle $30^{\circ}$ with $\mathrm{X}$-axis. One end of the rod lies at origin initially. A magnetic field also exists in the region pointing along positive Z-direction. The magnitude of the magnetic field varies with $Y$ as $B_{0}\left(\frac{Y}{L}\right)^{3}$, where, $B_{0}$ is a constants. At some instant the rod starts moving with a velocity $v_{0}$ along $X$-axis. The emf induced in the rod is

154679 A rectangular loop of wire is placed in the $\mathrm{XY}$ plane with its side of length $3 \mathrm{~cm}$ parallel to the $X$-axis and the side of length $4 \mathrm{~cm}$ parallel to the $\mathrm{Y}$-axis. It is moving in the positive $\mathrm{X}$ direction with the speed $10 \mathrm{~cm} / \mathrm{s}$. A magnetic field exists in the space with its direction parallel to the Z-axis. The field decreases by 2 $\times 10^{-3} \mathrm{~T} / \mathrm{cm}$ along the positive $\mathrm{X}$-axis and increases in time by $2 \times 10^{-2} \mathrm{~T} / \mathrm{s}$. The induced emf in the wire is