Question

In damped oscillations, the log of amplitude varies with respect to time _____.

• A. exponentially
• B. sinusoidally
• C. linearly
• D. parabolically

Answer 1

The correct option is C linearly

In damped oscillations, amplitude is given by:
$A=A_0{e}^{-bt/2m}$
$\log A=\log A_0-\frac{bt}{2m}$

This is of the form $y=c-mx$, which is equation of a line.
Hence the variation is linear.