Step 1: Metal detectors typically work on the principle of resonance. When a metal object is passed near the detector, it alters the frequency of the electromagnetic field inside the detector.
Step 2: The metal object resonates with the frequency of the electromagnetic waves generated by the detector, which causes a change in the oscillation and triggers the alarm.
Step 3: Hence, the phenomenon works based on resonance in AC circuits, where the resonating metal object causes a disruption in the frequency of the electromagnetic waves.
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field \( B \) exists into the page. The bar starts to move from the vertex at time \( t = 0 \) with a constant velocity. If the induced EMF is \( E \propto t^n \), then the value of \( n \) is _____.