Sponsor Area

Mechanical Properties Of Fluids

Question
CBSEENPH11020592

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

  • kg ms-1

  • kg ms-2

  • kgs-1

  • kg s

Solution

C.

kgs-1

Given,
Daming space force space proportional to space velocity
straight F proportional to space straight v
space straight F equals space kv
straight k equals straight F over straight v
Unit space of space straight k space equals space fraction numerator unit space of space straight F over denominator unit space of space straight v end fraction
equals space fraction numerator kg minus ms to the power of negative 2 end exponent over denominator ms to the power of negative 1 end exponent end fraction space equals space kgs to the power of negative 1 end exponent