Question

Choose the wrong statement:

• A. All quantities may be represented dimensionally in terms of the base quantities.
• B. A base quantity cannot be represented dimensionally in terms of the rest of the base quantities.
• C. The dimension of a base quantity in other base quantities maybe zero.
• D. The dimension of a derived quantity is never zero in any base quantity.

Answer 1

Answer: (A), (B), (C)

The dimension of a derived quantity is never zero in any base quantity.

Answer 2

Statement (D) is incorrect. Derived quantities can have zero dimensions in certain base quantities. For instance, velocity ($[L][T]^{-1}$) has zero dimension in mass ($[M]^0$). Statements (A), (B), and (C) are correct definitions and properties of dimensional analysis.