The Third peak overshoot and second undershoot of the step response of the second order underdamped system is given by

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${e^{ - \frac{{3\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ and ${e^{ - \frac{{2\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ respectively

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${e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ and ${e^{ - \frac{{5\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ respectively

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${e^{ - \frac{{6\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ and ${e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ respectively

TuteeHUB · Answer

${e^{ - \frac{{5\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ and ${e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}$ respectively

1.	The Third peak overshoot and second undershoot of the step response of the second order underdamped system is given by
A.	\({e^{ - \frac{{3\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) and \({e^{ - \frac{{2\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) respectively
B.	\({e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) and \({e^{ - \frac{{5\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) respectively
C.	\({e^{ - \frac{{6\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) and \({e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) respectively
D.	\({e^{ - \frac{{5\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) and \({e^{ - \frac{{4\pi \zeta }}{{\sqrt {1 - {\zeta ^2}} }}}}\) respectively
Answer» E.

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