A) \[\frac{\sqrt{3}}{2}\]
B) \[\frac{1}{2}\]
C) \[\frac{1}{\sqrt{2}}\]
D) \[\frac{1}{4}\]
Correct Answer: A
Solution :
\[{{\omega }_{d}}={{\omega }_{n}}\sqrt{1-{{\zeta }^{2}}}\] \[20=40\sqrt{1-{{\zeta }^{2}}}\] \[1-{{\zeta }^{2}}=\frac{1}{4}\] \[{{\zeta }^{2}}=\frac{3}{4},\] \[\zeta =\frac{\sqrt{3}}{2}\]
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