Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $v_2=\frac{n}{m^2} v_1$ and $a_2=\frac{a_1}{m n}$ respectively. Here $m$ and $n$ are constants. The relations for distance and time in two systems respectively are:
Select the correct option:
A
$\frac{n^3}{m^3} L_1=L_2$ and $\frac{n^2}{m} T_1=T_2$
B
$L_1=\frac{n^4}{m^2} L_2$ and $T_1=\frac{n^2}{m} T_2$
C
$L_1=\frac{n^2}{m} L_2$ and $T_1=\frac{n^4}{m^2} T_2$
D
$\frac{\mathrm{n}^2}{\mathrm{~m}} \mathrm{~L}_1=\mathrm{L}_2$ and $\frac{\mathrm{n}^4}{\mathrm{~m}^2} \mathrm{~T}_1=\mathrm{T}_2$
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