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JEE Main202126 Aug 2021Morning ShiftPhysicsUnits and DimensionsActual

If E , L , M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P in the formula P = E L 2 M - 5 G - 2 are:

Options

  1. AM 1 L 1   T - 2
  2. BM 0   L 1   T 0
  3. CM - 1 L - 1 T 2
  4. DM 0   L 0   T 0

Correct answer

D. M 0   L 0   T 0

Step-by-step solution

P = E L 2 M - 5 G − 2 P = M L 2 T - 2 M L 2 T − 1 2 M − 5 M − 1 L 3 T - 2 − 2 P = M 0 L 0 T 0

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