Answer: A/B, since division of differently dimensioned quantities is allowed and gives a new dimensioned quantity.
- A A + B, since addition is generally defined for any two physical quantities regardless of dimension
- B A/B, since division of differently dimensioned quantities is allowed and gives a new dimensioned quantity
- C A - B, since subtraction is generally defined for any two physical quantities regardless of dimension
- D sin(A/B), provided A and B individually have nonzero dimensions
Correct answer: B. A/B, since division of differently dimensioned quantities is allowed and gives a new dimensioned quantity
Explanation: Multiplication and division of quantities with different dimensions are valid and yield a new physical quantity, whereas addition or subtraction requires both quantities to share the same dimensions, and trigonometric functions require dimensionless arguments.
The 7 SI base units. All derived units (newton, joule, watt, volt, etc.) can be expressed as combinations of these 7 fundamental units raised to various powers.
Concept context
SI base units, dimensional analysis, significant figures, and error propagation. The toolkit every physics calculation relies on.