Verified Solution • 2025–26 Session moderate

QJEEAdv19Ph9afe: JEE Advanced 2019 Physics - Class 11 JEEAdv19Ph9afe Solution: Let us consider a system of units in which mass and angular…

Let us consider a system of units in which mass and angular momentum are dimensionless. If length has dimension of L, which of the following statement(s) is/are correct?

Multiple Choice Options

  • A The dimension of force is [L]-3
  • B The dimension of power is [L]-5
  • C The dimension of energy is [L]-2
  • D The dimension of linear momentum is [L]-1

Step-by-Step Verified Solution

[M]=[Mass]=[M0L0T0][M] = [Mass] = [{M^0}{L^0}{T^0}]

[J] = [Angular momentum] = [ML2T-1]

[L] = [Length]

Now, [ML2T−1]=[M0L0T0][M{L^2}{T^{ - 1}}] = [{M^0}{L^0}{T^0}]

∴\therefore [L2] = [T]

Power [P] = [MLT2.LT-1] = [ML2T-3]

= [L2L-6]

[P] = [L-4\

Energy/Work [W] = [MLT-2.L]

= [L2L-4] = [L-2]

Force [F] = [MLT-2] = [L.L-4] = [L-3]

Linear momentum [p] = [MLT-1] = [L.L-2]

[p] = [L-1]

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