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

Question

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are (A) kg ms-1 (B) kg ms-2 (C) kg s-1 (D) kg s

Tardigrade Admin · Accepted Answer

Damping force, F propto v or F=k v where k is the constant of proportionality ∴ k=(F/v)=( N / m s -1) =( kg m s - 2 / m s -1)= kg s -1

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

$k g m s^{- 1}$

$k g m s^{- 2}$

$k g s^{- 1}$

$k g s$

Damping force, $F \propto v$ or $F = k v$
where $k$ is the constant of proportionality
$∴ k = \frac{F}{v} = \frac{N}{m s ^{- 1}}$
$= \frac{k g m s ^{- 2}}{m s ^{- 1}} = k g s^{- 1}$

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

kgms−1

kgms−2

kgs−1

kgs

Damping force, F∝v or F=kv where k is the constant of proportionality ∴k=vF​=ms−1N​ =ms−1kgms−2​=kgs−1

$k g m s^{- 1}$

$k g m s^{- 2}$

$k g s^{- 1}$

$k g s$

Damping force, $F \propto v$ or $F = k v$
where $k$ is the constant of proportionality
$∴ k = \frac{F}{v} = \frac{N}{m s ^{- 1}}$
$= \frac{k g m s ^{- 2}}{m s ^{- 1}} = k g s^{- 1}$