The relationship between the variables D and T is given by the equationT1 = Db + cwhere b and c are constants.The unit of D is m2 and the unit of T is s.What are the units of b and c?unit of b unit of cA m s sB m s –1 s –1C m–1 s sD m–1 s –1 s –1
Question
The relationship between the variables D and T is given by the equationT1 = Db + cwhere b and c are constants.The unit of D is m2 and the unit of T is s.What are the units of b and c?unit of b unit of cA m s sB m s –1 s –1C m–1 s sD m–1 s –1 s –1
Solution
The units of b and c can be determined by rearranging the given equation to make b and c the subjects.
For b, rearrange the equation to: b = (T1 - c) / D
The unit of b is therefore the unit of T (seconds) divided by the unit of D (m^2), which is s/m^2.
For c, it is a constant in the equation and does not depend on D or T. Therefore, the unit of c is the same as the unit of T1, which is seconds (s).
So, the units of b and c are s/m^2 and s respectively. None of the options A, B, C, D match these units.
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