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The following are the parameters of circular motion of a body: \(u\) = speed of the body, \(R\) = radius vector, \(a\) = total acceleration, \(a_R\) = radial acceleration, \(a_T\) = tangential acceleration, \(\omega\) = angular velocity. Match the following.

1. (a) → p, q; (b) → q, s; (c) → q, r; (d) → p, q
2. (a) → p, q; (b) → q, r; (c) → p, s; (d) → q, s
3. (a) → p, s; (b) → r, p; (c) → q, r; (d) → p, q
4. (a) → r; (b) → q; (c) → s; (d) → p

Correct answer: (a) → p, q; (b) → q, r; (c) → p, s; (d) → q, s

Solution

In circular motion, radial acceleration is \(a_R = v^2/R = \omega^2R\), and tangential acceleration is \(a_T = dv/dt = \alpha R\). Matching these relations with the given expressions gives the correct correspondence in option B.

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