A lissajous pattern, as shown in figure below, is observed on the screen of a $$CRO$$ when voltages of frequencies $${f_x}$$ and $${f_y}$$ are applied to the $$x$$ and $$y$$ plates respectively. $${f_x}:{f_y}$$ is then equal 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