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If $η = \frac{A}{B} \log (B x + C)$ is dimensionally true, then (here $η$ is the coefficient of viscosity and x is the distance)

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C is dimensionless constant

B has dimensions of -1 in length

The dimensional formula of A is ML−2T−1

All the above are true

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detailed solution

Correct option is D

Bx+C is dimensionlessC is dimensionlessBx=dimensionlessB=L-1A=ηB=ML-1T-1L-1=ML-2T-1

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If η=ABlog(Bx+C) is dimensionally true, then (here η is the coefficient of viscosity and x is the distance)

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If $η = \frac{A}{B} \log (B x + C)$ is dimensionally true, then (here $η$ is the coefficient of viscosity and x is the distance)