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The instantaneous voltages at three terminal marked \( \mathrm{X}, \mathrm{Y} \) and \( \mathrm{Z} \) are given by \( \mathrm{V}_{\mathrm{x}}=\mathrm{V}_{0} \sin \omega \mathrm{t} \),
\( \mathrm{V}_{\mathrm{y}}=\mathrm{V}_{0} \sin \left(\omega \mathrm{t}+\frac{2 \pi}{3}\right) \) and
\( \mathrm{V}_{\mathrm{z}}=\mathrm{V}_{0} \sin \left(\omega \mathrm{t}+\frac{4 \pi}{3}\right) \)
An ideal voltmeter is configured to read rms value of the potential difference between its termials. It is connected between \( \mathrm{X} \) and \( \mathrm{Y} \) and then between \( \mathrm{Y} \) and \( \mathrm{Z} \). The reading(s) of the voltmeter will be
(A) \( \mathrm{V}_{\mathrm{YZ}}^{\mathrm{mms}}=\mathrm{V}_{0} \sqrt{\frac{1}{2}} \)
(B) \( \mathrm{V}_{\mathrm{xY}}^{\mathrm{ms}}=\mathrm{V}_{0} \sqrt{\frac{3}{2}} \)
(C) \( \mathrm{V}_{\mathrm{XY}}^{\mathrm{m}}=\mathrm{V}_{0} \)
(D) independent of the choice of the two terminals
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