Looking for classes? Ksquare Career Institute, Bengaluru →
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
A
kg s
B
kg m $s^{-1}$
C
kg m $s^{-2}$
D
kg $s^{-1}$
Detailed Solution
$F = -kv \Rightarrow k = \frac{F}{v}$
Unit of k $= \frac{N}{m\,s^{-1}} = \frac{kg\,m\,s^{-2}}{m\,s^{-1}} = kg\,s^{-1}$
Unit of k $= \frac{N}{m\,s^{-1}} = \frac{kg\,m\,s^{-2}}{m\,s^{-1}} = kg\,s^{-1}$