Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as v₂ = n/(m²)v₁ and a₂ = a₁/mn respectively. Here m and n are constants. The relations for distance and time in two systems respectively are:

(A) (n³)/(m³)L₁ = L₂ and (n²)/m T₁ = T₂

(B) L₁ = (n⁴)/(m²)L₂ and T₁ = (n²)/m T₂

(C) L₁ = (n²)/m L₂ and T₁ = (n⁴)/(m²)T₂

(D) (n²)/m L₁ = L₂ and (n⁴)/(m²)T₁ = T₂

Units and Measurements: JEE Main 2022 Physics question

JEE Main 2022 · 28 Jun, Evening shift · Q8344

JEE Main 202228 Jun, Evening shiftPhysicsMediumUnits and Measurements122× since 2002

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 :

JEE Main 2022 Units and Measurements Question with Solution (28 Jun Evening shift, Q8344) | JEE Arc

JEE Main 2022 · 28 Jun, Evening shift · Q8344

JEE Main 202228 Jun, Evening shiftPhysicsMediumUnits and Measurements122× since 2002

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 :