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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Editor">Editor Staff asked 1 year ago

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
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

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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