JEE Advanced · PhysicsMedium

$If the unit of length is doubled and the unit of time is halved, then the unit of acceleration will be changed by a factor of$

A. $2$
B. $4$
C. $8$
D. $1/8$

Show correct answer & step-by-step solution

Correct answer: C — $8$

Solution

Acceleration has dimensions of [L T^{- 2}] . If length L^{'} = 2 L and time T^{'} = T /2, then a^{'} = (2 L) / (T /2)^{2} = 8 (L / T^{2}) = 8 a .

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