The following circuit (Fig.) resonates at

A metal strain gauge has gauge factor of two, it's nominal resistance is $$120$$ Ohms. It is undergoes a strain of $${10^{ - 5}},$$ the value of change of resistance in response to the strain is

V_RN, V_YN and V_BN are the instantaneous line to neutral voltages and i_R, i_Y and i_B are instantaneous line currents in a balanced three-phase circuit, the computation, V_RN (i_y $$-$$ i_B) $$-$$ (V_YN $$-$$ V_BN) i_R will yield a quantity proportional to

A $$CRO$$ screen has ten divisions on the horizontal scale. If a voltage signal $$5$$ $$sin$$$$\left( {314t + {{45}^ \circ }} \right)$$ is examined with a line base setting of $$5$$ $$msec/div,$$ the number o0f cycles of signal displayed on the screen will be