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The instantaneous voltages at three terminals marked \( X, Y \) and \( Z \) are given by \( V_{X}=V_{0} \sin \omega t \),
\( V_{Y}=V_{0} \sin \left(\omega t+\frac{2 \pi}{3}\right) \) and \( V_{Z}=V_{0} \sin \left(\omega t+\frac{4 \pi}{3}\right) \).
An ideal voltmeter is configured to read rms value of the potential difference between its terminals. It is connected between points \( X \) and \( Y \) and then between \( Y \) and \( Z \). The reading(s) of the voltmeter will be
(a) \( \left(V_{Y Z}\right)_{\mathrm{rms}}=V_{0} \sqrt{\frac{1}{2}} \)
(b) \( \left(V_{X Y}\right)_{\mathrm{rms}}=V_{0} \sqrt{\frac{3}{2}} \)
(c) independent of the choice of the two terminals
(d) \( \left(V_{X Y}\right)_{\mathrm{rms}}=V_{0} \)
 
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