Check whether the relation `S = ut + (1)/(2) at^(2)` is dimensionally correct or not , where symbols have their usual meaning .
Text Solution
Verified by Experts
We have `S = ut + (1)/(2) at^(2)` Checking the dimensions on both sides, `LHS = [M^(0) L^(1) T^(0)]` `RHS = [LT^(-1)] [ T] + [LT^(-2)] [ T^(2)]` `= [M^(0) L^(1) T^(0) ] + [ M^(0) L^(1) T^(0) ] = [ M^(0) L^(1) T^(0)]` Comparing the `LHS and RHS` , we get `LHS = RHS` Hence the formula is dimensionally correct.
