Suppose that the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? a. L/T b. T/L c. T/L²d. L/T²e. T²/L f. L²/T²

Question

Tobias Carrillo

Physics

18 September, 05:53

Suppose that the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? a. L/T b. T/L c. T/L²d. L/T²e. T²/L f. L²/T²

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Answers (1)

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Nikhil Obrien · Answer 1

Answer: A. B = L/T

Explanation:

Since the relationship between displacement and time is related by the equation x = Bt,

The displacement is measured in meter which specifies the length (L). Time (T) is measured in seconds. To get the dimension of B, we need to make B the subject of the formula first that is B = x/t

Writing B in terms of its dimension will give us B = L/T