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Most Important Selected Qs for JEE AdvancedPhysicsUnits and Dimensions

If Z = A sin ⁡ θ + B cos ⁡ θ A + B ; then

Options

  1. Athe dimensions of Z and A are the same
  2. Bthe dimensions of Z and B are the same
  3. CZ is dimensionless quantity
  4. Dnone of these

Correct answer

C. Z is dimensionless quantity

Step-by-step solution

Z = A sin ⁡ θ + B cos ⁡ θ A + B ; Dimensions of A and B would be same as two quantities can be added only when they have same dimensions. So from given equation, we can say that Z is dimensionless.

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