Dimensional formula checking for v²= 2 g h
» Checking dimensional correctness for v²= 2 g h
LHS = v² = [L T ^-1]² = [L² T ^-2]
RHS = 2 g h = 2 [L T ^-1][L] = [L² T^-2]
»LHS = RHS
So, the LHS= RHS.
HENCE, the given formula is dimensionally correct.
» Checking dimensional correctness for v = u+ at
LHS = v = [L T ^-1]
RHS = u + at= [L T ^-1] + [L T^-2][T]
= [L T^-1]
»LHS = RHS
So, the LHS= RHS.
HENCE, the given formula is dimensionally correct.
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