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Write the dimensions of each of the foll...

Write the dimensions of each of the following in terms of mass, length time. (i) Reynold number (ii) Rigidity modulus.

Text Solution

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(i) Reynold number `N_R = (rho "D"xx"upsilon")/(eta)`
` =([ML^(-3)][L]LT^(-1)]/((ML^(-1)T^(-1)]) = [(M^0 L) T^(0)]`
(ii) Rigindity modulus ` = ("stress")/("shearing strain")`
`= (F//a)/(Delta L//L) = (MLT^(-2)//L^2)/(1) = [M^1 L^(-1) T^(-2)]`
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