In under damped vibrating system, if $${{x_1}}$$ and $${{x_2}}$$ are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to
A. $$\frac{{{x_1}}}{{{x_2}}}$$
B. $$\log \frac{{{x_1}}}{{{x_2}}}$$
C. $$\log e\frac{{{x_1}}}{{{x_2}}}$$
D. $$\log \left( {{x_1} \times {x_2}} \right)$$
Answer: Option B
Logarithmic decrement,
Delta =ln (Xn/Xn + 1).
ln = loge.
option c is correct.