Published by:
CGP EDU Academic Team
Published on: September 12, 2026
In two different systems of units, accelerations are represented by the same numbers, whilst
velocities are represented by numbers in ratio of 
. The ratios of unit of length and time are
A
B
C
3,9
D
9,3
Text Solution
Verified by ExpertsThe correct answer is:
D
In the two systems of units, the accelerations are equal while their velocities are in a ratio of \frac{3}{9} = \frac{1}{3}.
Since acceleration (a) is defined as \( a = \frac{v}{t} \), and given that the acceleration units are the same, we conclude that the ratio of the units of length to time must be the inverse of the velocity ratio.
Therefore, the ratio of the unit of length and time must be 9:3 (or 3:1 when inverted). Hence, the correct answer is option D (9,3).
Since acceleration (a) is defined as \( a = \frac{v}{t} \), and given that the acceleration units are the same, we conclude that the ratio of the units of length to time must be the inverse of the velocity ratio.
Therefore, the ratio of the unit of length and time must be 9:3 (or 3:1 when inverted). Hence, the correct answer is option D (9,3).
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