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If the units of length and time are doubled, what will be the factor by which the unit of acceleration will change?

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in Physics – Class 11 by (74.2k points)
If the units of length and time are doubled, what will be the factor by which the unit of acceleration will change?

(a) 1

(b) 0.25

(c) 0.5

(d) 2

The question was posed to me during an online interview.

The above asked question is from Dimensional Formulae and Equations topic in chapter Units and Measurements of Physics – Class 11

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Right answer is (c) 0.5

For explanation: The dimensions of acceleration are LT^-2. On doubling both length and time, the new dimensions become (0.5)*LT^-2.

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