AP EAMCET · PHYSICS · Units and Dimensions
Find the dimension formula of \(\frac{a}{b}\) in the equation \(F=a \sqrt{x}+b t^2\), where \(F\) is a force, \(x\) is distance and \(t\) is time.
- A \(\left[M^0 L^{-1 / 2} T^2\right]\)
- B \(\left[M^0 L^0 T^{3 / 2}\right]\)
- C \(\left[M^0 L^1 T^{-4}\right]\)
- D \(\left[M^0 L^{-3 / 2} T^4\right]\)
Answer & Solution
Correct Answer
(A) \(\left[M^0 L^{-1 / 2} T^2\right]\)
Step-by-step Solution
Detailed explanation
\(F=a \sqrt{x}+b t^2\) By principle of homogeneity…
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