For a given frequency, the deflecting torque of an induction ammeter is directly proportional to

A water boiler at home is switched on to the $$A.C$$ mains supplying power at $$230$$ $$V/50$$ $$Hz.$$ The frequency of instantaneous power consumed by the boiler is

The moving coil in a dynamometer wattmeter is connected

In an oscilloscope the input to the horizontal plates is a $$100Hz$$ voltage signal. The lissajous patterns $$(A), (B)$$ and $$(C)$$ will be generated when different frequency voltage signals are applied to vertical plates. Match each lissajous pattern to the corresponding frequency by