The viscous force on a moving block is directly proportional to velocity. The unit of constant of proportionality is

k g s

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k g m s^{- 3}

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k g m s^{2}

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k g s^{- 1}

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Solution

The correct option is D $k g s^{- 1}$
Given $F \propto v$
$F = C v$
$C = \frac{F}{v}$
Substituting the dimensional formulae of $F$ and $v$
$C = \frac{M L T^{- 2}}{L T^{- 1}} = M T^{- 1}$

Unit is $k g / s = k g s^{- 1}$

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The viscous force on a moving block is directly proportional to velocity. The unit of constant of proportionality is

The correct option is D kgs−1Given F∝v F=Cv C=Fv Substituting the dimensional formulae of F and v C=MLT−2LT−1=MT−1 Unit is kg/s=kg s−1

The correct option is D $k g s^{- 1}$
Given $F \propto v$
$F = C v$
$C = \frac{F}{v}$
Substituting the dimensional formulae of $F$ and $v$
$C = \frac{M L T^{- 2}}{L T^{- 1}} = M T^{- 1}$

Unit is $k g / s = k g s^{- 1}$