Question

Using dimensional analysis, check the correctness of the equation sut+at².​

Answer 1

hyyy

how are u....

Question:- Using dimensional analysis, check the correctness of the equation sut+at².

Answer :- Writing the dimensions of either side of the given equation.

Writing the dimensions of either side of the given equation.LHS=8=displacement=[M0LT0]

Writing the dimensions of either side of the given equation.LHS=8=displacement=[M0LT0]RHS=ut=velocity×time=[M0LT−1][T]=[M0LT0]

Writing the dimensions of either side of the given equation.LHS=8=displacement=[M0LT0]RHS=ut=velocity×time=[M0LT−1][T]=[M0LT0]and 21at2=(acceleration)×(time)2=[M0LT−2][T]2=[M0LT0]

Writing the dimensions of either side of the given equation.LHS=8=displacement=[M0LT0]RHS=ut=velocity×time=[M0LT−1][T]=[M0LT0]and 21at2=(acceleration)×(time)2=[M0LT−2][T]2=[M0LT0]As LHS=RHS, formula is dimensionally correct.