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Match the following
1) C.G.S unit of coefficient of viscosity A) 10 poise
2) Unit of velocity gradient B) $[M L^{- 1} T^{- 1}]$
3) Pa.s C) poise
4) Dimensional formula of Coefficient of viscosity D) $[M L^{- 1} T^{- 2}]$
E) $\sec^{- 1}$

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1-C,2-E,3-A,4-B

1-A,2-B,3-C,4-D

1-D,2-C,3-B,4-A

1-C,2-A,3-E,4-D

answer is A.

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Detailed Solution

1) $η = \frac{F}{A \frac{d v}{d n}} = \frac{d y n e}{c m^{2} \sec^{- 1}} = p o i s e$ 2) $\frac{d v}{d x} = \frac{m / s}{m} = \sec^{- 1}$

3) $\begin{array}{l} N m^{- 2} \sec = 10^{5} d y n e 10^{- 4} c m^{- 2} \sec \\ = 10 d y n e c m^{2} \sec \\ = 10 p o i s e \end{array}$ 4) $η = \frac{F}{A \frac{d v}{d n}} = \frac{M L T^{- 2}}{L^{2} T^{1}} = [M L^{- 1} T^{- 1}]$

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