A) 1
B) 2
C) 0.5
D) \[\sqrt{2}\]
Correct Answer: D
Solution :
\[\,{{y}_{2}}=\frac{A}{2}\,\sin \,\omega t+\frac{A}{2}\,\cos \,\omega t\] \[=\,\,\frac{A}{2}\,(\sin \,\omega t\,\,+\,\,\cos \,\omega t)\] \[=\,\,\frac{A}{2}\,\times \,\,\sqrt{2}\,\,[\sin \,(\omega t\,\,+\,45{}^\circ )]\] \[=\,\,\frac{A}{\sqrt{2}}\,\sin \,(\omega t\,\,+\,45{}^\circ )]\] \[\Rightarrow \,\,\frac{{{A}_{1}}}{{{A}_{2}}}\,\,=\,\,\frac{A}{A/\sqrt{2}}=\sqrt{2}\,\,\]You need to login to perform this action.
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