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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Units and Dimensions

NTA Abhyas 2020 · Physics · Units and Dimensions

If Z = (Asin θ + Bcos θ)/(A + B) ; then

If Z=Asinθ+BcosθA+BZ = \dfrac{Asin \theta + Bcos \theta}{A + B}; then

Options

  1. Athe dimensions of ZZ and AA are the same
  2. Bthe dimensions of ZZ and BB are the same
  3. CZZ is dimensionless quantity
  4. Dnone of these

Correct answer

C. ZZ is dimensionless quantity

Step-by-step solution

Z = \dfrac{A\text\sin \theta + B\text\cos \theta}{A + B}; Dimensions of AA and BB would be same as two quantities can be added only when they have same dimensions. So from given equation, we can say that ZZ is dimensionless.
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