Moderate

The unit of dimensions of which of the following pairs of physical quantities are identical?

Correct answer: A. Impulse and Momentum

  • A. Impulse and Momentum
  • B. Stress and Strain
  • C. Pressure and Density
  • D. Gravitational potential and Energy

Explanation

Both impulse and momentum have the same unit of dimensions. Impulse is defined as force multiplied by time, while momentum is the product of mass and velocity. Both quantities share the unit of dimensions [mass] × [velocity], which is equivalent to [force] × [time], demonstrating their similarity in units.

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About Measurements

Physical quantities are expressed with SI base and derived units, while measurement limits are described through accuracy, precision, absolute and percentage error, and significant figures. Dimensional analysis checks equations, derives relationships and detects inconsistent units, but it cannot determine numerical constants or distinguish quantities with identical dimensions.

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