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`ing(dv)/(sqrt(2nv-v^(2)))=a^(n)sin^(-1)[x/a-1]` on the basis of dimensional analysis, the value of `n` is

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(a) [LHS] `=` [RHS]
or `[(dv)/(sqrt(2av-v^(2)))]=[a^(n)sin^(-1)(x/a-1))]` or `[(dv])/([sqrt(v^(2))])=[a^(n)]`
or `([dv])/([v])[a^(n)]` or `[M^(0)L^(0)T^(0)]=[a^(n)]:.n=0`

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