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Question

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as ${v_2} = {n \over {{m^2}}}{v_1}$ and ${a_2} = {{{a_1}} \over {mn}}$ respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :

${{{n^3}} \over {{m^3}}}{L_1} = {L_2}$ and ${{{n^2}} \over m}{T_1} = {T_2}$
${L_1} = {{{n^4}} \over {{m^2}}}{L_2}$ and ${T_1} = {{{n^2}} \over m}{T_2}$
${L_1} = {{{n^2}} \over m}{L_2}$ and ${T_1} = {{{n^4}} \over {{m^2}}}{T_2}$
${{{n^2}} \over m}{L_1} = {L_2}$ and ${{{n^4}} \over {{m^2}}}{T_1} = {T_2}$

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