TS EAMCET · Physics · Units and Dimensions
If \(\mathrm{A}, \mathrm{B}\) and C are three different physical quantities with different dimensional formulae, then the combination which can never give a proper physical quantity is
- A \(\frac{\mathrm{A}}{\mathrm{BC}}\)
- B \(\frac{A B-C^2}{B C}\)
- C \(\frac{A-C}{B}\)
- D \(\mathrm{AC}-\mathrm{B}\)
Answer & Solution
Correct Answer
(C) \(\frac{A-C}{B}\)
Step-by-step Solution
Detailed explanation
Quantities can only be added or subtracted if they have the same dimensional formula. Given that A, B and C have different dimensional formulae, then \( [A] \neq [C] \). The term \( A-C \) is therefore dimensionally inconsistent and cannot be a proper physical quantity. Thus,…
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