First slide

Damped oscillation

Question

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

Moderate

A

kgs
B

${kgms}^{- 1}$
C

${kgms}^{- 2}$
D

${kgs}^{- 1}$

Solution

Given, damping force $\propto velocity$
$F = kv \Rightarrow k = \frac{F}{v}$
Units of k = $\frac{unit of F}{unit of v} = \frac{kg - {ms}^{- 2}}{{ms}^{- 1}} = {kgs}^{- 1}$

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