If a body moving in a circular path maintains constant speed of 10ms ⁻¹, then which of the following correctly describes relation between acceleration and radius? (a) (b) (c) (d)

Answer: (c). For constant speed v, a = v²/r = 100/r. So a ∝ 1/r: a rectangular hyperbola, a falls as r grows. So the answer is (c), the falling hyperbola-shaped curve.

If a body moving in a circular path maintains constant speed of 10ms… | JEE Main 2015 (10 Apr, Shift 1)

Q48JEE Main 2015 · 10 APR · SHIFT 1Easy

Centripetal Acceleration & Force

If a body moving in a circular path maintains constant speed of 10ms ${}^{-1}$ , then which of the following correctly describes relation between acceleration and radius?

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Answer: (c)

For constant speed $v$ , $a = \frac{v^2}{r} = \frac{100}{r}$ .
So $a \propto \frac{1}{r}$ : a rectangular hyperbola, $a$ falls as $r$ grows.
So the answer is (c), the falling hyperbola-shaped curve.

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