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Lissajous Pattern-2

Two in phase ...

Question

Two in phase 50 Hz sinusoidal wave forms of unit amplitude are fed into channel-1 and channel-2 respectively of an oscilloscope. Assuming that the voltage scale, time scale and other settings are exactly the same for both the channels. What would be observed if the oscilloscope is operated in $x - y$ mode?

A

A circle of unit radius

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B

An ellipse

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C

A parabola

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D

A straight line inclined at

45^{\circ}

with respect to the

x

axis

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Solution

The correct option is D A straight line inclined at $45^{\circ}$ with respect to the $x$ axis
$∵ P h a s e d i f f e r e n c e = 0^{\circ} a n d f_{x} = f_{y}$
Hence, a straight line will be observed having slope of $45^{\circ}$ .

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