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Units and Measurement question

2012 · Q176
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Units and Measurement question

2012 · Q176

NEETPhysicsUnits and MeasurementMCQ+4 / −1
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
  1. A
    kg m s−-−1
  2. B
    kg m s−-−2
  3. C
    kg s−-−1
  4. D
    kg s
View written solutionFree

Correct answer: C

According to the question,

Damping force, F ∝\propto∝ v

⇒\Rightarrow⇒ F = kv
where k is constant of proportionality.

∴\therefore∴ k = Fv{F \over v}vF​ = Nm s−1{N \over {m\,{s^{ - 1}}}}ms−1N​ = kg m s−2m s−1{{kg\,m\,{s^{ - 2}}} \over {m\,{s^{ - 1}}}}ms−1kgms−2​ = kg s−1kg\,{s^{ - 1}}kgs−1

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