A) \[120V,\text{ }100\text{ }Hz\]
B) \[120/\sqrt{2}\,V,100\,Hz\]
C) \[60\,V,\,200\,Hz\]
D) \[60\,V,\,100\,Hz\]
Correct Answer: D
Solution :
The standard equation for AC supply voltage is given by \[V={{V}_{0}}\sin \omega t\] ?(i) Given, \[V=120\sin 100\,\pi t\,\cos 100\,\pi t\] \[V=60\,[2sin100\pi t\,cos100\,\pi t]\] Using formula \[\sin 2\theta =2\sin \theta \cos \theta ,\]we get \[V=60\sin 200\,\pi t\] ?(ii) Comparing Eqs. (i) and (ii), we get \[{{V}_{0}}=60\,V,\omega =2\pi n=200\pi ,n=100\,Hz\]
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