Physics · Dimensions of Physics quantities, dimensional analysis and its applications
Which of the following pair of quantities do not have the same dimensions?
Which of the following pair of quantities do not have the same dimensions?
- A. Potential gradient, electric field
- B. Torque, kinetic energy
- C. Light year, time period
- D. Impedance, reactance
Step-by-step solution
Light year is a unit of distance (dimension [L]), while time period has dimension [T]. They are dimensionally different. All other pairs have the same dimensions: potential gradient and electric field both [MLT^{-3}I^{-1}]; torque and kinetic energy both [ML^2T^{-2}]; impedance and reactance both [ML^2T^{-3}I^{-2}].
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