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Find the dimensions of a/b in the relati...

Find the dimensions of a/b in the relation `F=a sqrt(x)+"bt"^(2)`, where F is force, x is distance and t is time.

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To find the dimensions of \( \frac{a}{b} \) in the given relation \( F = a \sqrt{x} + b t^2 \), where \( F \) is force, \( x \) is distance, and \( t \) is time, follow these steps: 1. **Identify the dimensions of each quantity:** - Force \( F \) has the dimension \([F] = [MLT^{-2}]\). - Distance \( x \) has the dimension \([x] = [L]\). - Time \( t \) has the dimension \([t] = [T]\). 2. **Express the given relation in terms of dimensions:** ...
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