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 thin transparent film with refractive index 1.4 is held on a circular ring of radius 1.8 cm. The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the rate of evaporation is:

An infinite wire has a circular bend of radius \( a \), and carrying a current \( I \) as shown in the figure. The magnitude of the magnetic field at the origin \( O \) of the arc is given by: