None of these — according to the source, none of the listed relations correctly state the conversion between the CGS unit (poise) and the SI unit indicated, so option D is chosen.

Gravitational constant G has dimensions [M^{-1} L^{3} T^{-2}]; none of the listed options cleanly match except B if interpreted, but as presented, 'None of these' is chosen based on OCR ambiguity.

Energy and work are both measured in joules and therefore have the same dimensions.

Momentum and torque have different dimensions (momentum: MLT^-1; torque: ML^2T^-2), so they do not match.

From F = m a, mass = F / a = F × T^2 / L, hence dimensions are F L^-1 T^2.

The Planck mass has form m ∝ √(ħ c / G); using h instead of ħ gives the same dimensional combination √(h c / G), so option A is correct.

Energy has units force × length, so doubling both force and length multiplies the energy unit by 2×2 = 4.

Work has dimensions of force times distance: [M L T^-2]×[L] = [M L^2 T^-2], so option C is correct.

Numeric value = (quantity)/(unit); increasing the unit magnitude decreases the numeric value inversely, so it is inversely proportional.

Angle (measured in radians) is dimensionless, unlike acceleration, velocity, or density.