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

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km/s

km-s

km/s2

km-s2

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detailed solution

Correct option is C

ACCORDING to principle of homogenity all the terms of a given equation will have the same units and dimensions[x]=bt2 ⇒[b]=x/t2=km/s2

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If x=at+bt2, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the unit of b is

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