Verified Solution • 2025–26 Session moderate

QJEEM21Ph0984: JEE Main 2021 Physics - Class 11 JEEM21Ph0984 Solution: If 'C' and 'V' represent capacity and voltage respectively then …

If 'C' and 'V' represent capacity and voltage respectively then what are the dimensions of λ\lambda where C/V = λ\lambda ?

Multiple Choice Options

  • A [M−3L−4I3T7][{M^{ - 3}}{L^{ - 4}}{I^3}{T^7}]
  • B [M−2L−3I2T6][{M^{ - 2}}{L^{ - 3}}{I^2}{T^6}]
  • C [M−2L−4I3T7][{M^{ - 2}}{L^{ - 4}}{I^3}{T^7}]
  • D [M−1L−3I−2T−7][{M^{ - 1}}{L^{ - 3}}{I^{ - 2}}{T^{ - 7}}]

Step-by-Step Verified Solution

λ=CV=Q/VV=QV2\lambda = {C \over V} = {{Q/V} \over V} = {Q \over {{V^2}}}

V=workQV = {{work} \over Q}

λ=Q3(work)2=(It)3(F.s)2\lambda = {{{Q^3}} \over {{{(work)}^2}}} = {{{{(It)}^3}} \over {{{(F.s)}^2}}}

=[I3T3][ML2T−2]2=[M−2L−4I3T7]= {{\left[ {{I^3}{T^3}} \right]} \over {{{\left[ {M{L^2}{T^{ - 2}}} \right]}^2}}} = [{M^{ - 2}}{L^{ - 4}}{I^3}{T^7}]

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