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Dimensional Analysis

If x = at +...

Question

If $x = a t + b t^{2}$ , where x is the distance travelled by the body in kilometre while t is the time in second, then the unit of b are

A

km/s

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B

km-s

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C

k m / s^{2}

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D

k m - s^{2}

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Solution

The correct option is B $k m / s^{2}$
the dimension of $x$ is same as that of $b t^{2}$ .

so, $b = \frac{x}{t^{2}}$

so, the unit of $b$ is $k m / s^{2}$

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