The current carrying wire and the rod $AB$ are in same plane. The rod moves parallel to the wire with a velocity $v$. Which one of the following statement is true about induced emf in the rod?

A rod $AB$ slides on a $V$ shaped wire with speed $v$ as shown, such that at any time $O A=O B=l$. Magnetic field in the region is perpendicular downwards and has strength $B$, induced emf in the rod is

If given arrangement is moving towards left with speed $v$, then potential difference between $B$ and $D$ and current in the loop are respectively

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A semicircular loop of radius $R$ is rotated with an angular velocity $\mathrm{\omega }$ perpendicular to the plane of a magnetic field $B$ as shown in the figure. Emf induced in the loop is

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A flexible wire bent in the form of a circle is placed in a uniform magnetic field perpendicular to the plane of the circle. The radius $r$ of circle changes with time $t$ as shown in the figure. The graph of magnitude of induced emf $\left|e\right|$ versus time in the circle is represented by