A particle is moving with constant speed alon | vedclass

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(C) For a particle moving in a circular or curved path with constant speed $v$,the centripetal acceleration is given by $a_c = \frac{v^2}{r}$,where $r

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The magnitude of acceleration is constant in $(a)$ and decreasing in $(b)$.

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(C) For a particle moving in a circular or curved path with constant speed $v$,the centripetal acceleration is given by $a_c = \frac{v^2}{r}$,where $r$ is the radius of curvature.In case $(a)$,the path is a uniform helix,meaning the radius of curvature $r$ is constant. Since $v$ and $r$ are constant,the magnitude of acceleration $a_c$ is constant.In case $(b)$,the path is a spiral where the radius $r$ increases as the particle moves outward. Since $v$ is constant and $r$ increases,the magnitude of acceleration $a_c = \frac{v^2}{r}$ decreases as the particle moves along the spiral path.Therefore,the magnitude of acceleration is constant in $(a)$ and decreasing in $(b)$.

$A$ particle is moving with constant speed along a uniform helical path $(a)$ and a spiral path $(b)$ separately,as shown in the figure.

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