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NEET 2012
Exam
NEET
Year
2012
Subject
Physics
Chapter
Units and Dimensions

NEET 2012 · Physics · Units and Dimensions

The damping force on an oscillator is directly proportional to the...

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

Options

  1. Akgms−1\mathrm{kg} \mathrm{ms}^{-1}
  2. Bkgms−2\mathrm{kg} \mathrm{ms}^{-2}
  3. Ckgs−1\mathrm{kg} \mathrm{s}^{-1}
  4. Dkgs\mathrm{kg} \mathrm{s}

Correct answer

C. kgs−1\mathrm{kg} \mathrm{s}^{-1}

Step-by-step solution

Given, Damping force ∝\propto velocity F∝yF=kvk=Fv\begin{aligned} & F \propto y \\ & F=k v \\ & k=\frac{F}{v} \end{aligned}Unit of k= unit of F unit of v=kg−ms−2ms−1=kgs−1\begin{aligned} \text{Unit of } k & =\frac{\text{ unit of } F}{\text{ unit of } v} \\ & =\frac{\mathrm{kg}-\mathrm{ms}^{-2}}{\mathrm{ ms}^{-1}}=\mathrm{kgs}^{-1} \end{aligned}$
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