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The maximum static friction on a body is $F = μ N .$ Here, N = normal reaction force on the body $μ =$ coefficient of static friction. The dimensions of $μ$ are

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$[M^{0} L^{0} T^{0} θ^{- 1}]$

dimensionless

$[M L^{0} T^{- 1}]$

$[M L T^{- 2}]$

answer is C.

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Detailed Solution

Friction, $F = μ N$

$∴ μ = \frac{F}{N}$

$∴ [μ] = [\frac{F}{N}] = [\frac{M L T^{- 2}}{M L T^{- 2}}] = dimensionless$

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