If x and t represent distance and time,respectively,the C in x = ¹/2Ct ² must A)have the dimensions ML/T ². B)have the dimensions M. C)have the dimensions L/T ². D)have the dimensions L²/T ². E)be dimensionless.

Question

Quizplus · Accepted Answer

We can break down the given equation as follows: x = ¹/2Ct Rearranging, we get: C = ¹/2xt Now let's look at the dimensions of each term in the numerator and denominator: ¹ has dimensions of L (length) x has dimensions of L (length) t has dimensions of T (time) Hence, the dimensions of C will be: L/(T * L) = L/T. Therefore, option C is the correct choice.

If X and T Represent Distance and Time,respectively,the C in X