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Units and Measurements question

2022 · 28 Jun · Shift 2 · Q50
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Units and Measurements question

2022 · 28 Jun · Shift 2 · Q50

JEE MainPhysicsUnits and MeasurementsMCQ+4 / −1
Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as v2=nm2v1{v_2} = {n \over {{m^2}}}{v_1}v2​=m2n​v1​ and a2=a1mn{a_2} = {{{a_1}} \over {mn}}a2​=mna1​​ respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :
  1. A
    n3m3L1=L2{{{n^3}} \over {{m^3}}}{L_1} = {L_2}m3n3​L1​=L2​ and n2mT1=T2{{{n^2}} \over m}{T_1} = {T_2}mn2​T1​=T2​
  2. B
    L1=n4m2L2{L_1} = {{{n^4}} \over {{m^2}}}{L_2}L1​=m2n4​L2​ and T1=n2mT2{T_1} = {{{n^2}} \over m}{T_2}T1​=mn2​T2​
  3. C
    L1=n2mL2{L_1} = {{{n^2}} \over m}{L_2}L1​=mn2​L2​ and T1=n4m2T2{T_1} = {{{n^4}} \over {{m^2}}}{T_2}T1​=m2n4​T2​
  4. D
    n2mL1=L2{{{n^2}} \over m}{L_1} = {L_2}mn2​L1​=L2​ and n4m2T1=T2{{{n^4}} \over {{m^2}}}{T_1} = {T_2}m2n4​T1​=T2​
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