Question

The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is ______.

Options

• kg ms^-1

• kg s^-1

• kg ms^-2

• kg s

Answer 1

The damping force of an oscillator is directly proportional to the velocity. The unit of constant of proportionality is kg s^-1.

Explanation:

Given, damping force ∝ velocity

F ∝ v

F = kv

where, k is the proportionality constant.

`=> "k" = "F"/"v" = ("kg-m"//"s"^2)/("m"//"s") = "kg"/"s"` = kg s^-1