Question

Given that force=alpha upon density + beta square.What are the dimension of alpha and beta.

Answer 1

Force is in Newtons , dimensional formula is MLT--2   so is alpha/beta

dimensional formula of  alpha/beta is  MLT-2  

beta.x/E shld be dimensionless

dimension of x is L and of E is ML2T-2

dimension of beta is same as of E/x  i.e., MLT-2

dimension of alpha is = M2L2T-4

dimension of beta is  =  MLT-2

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