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$I f a_{r} a n d a_{t}$ represent radial and tangential acceleration respectively, the motion of a particle will be circular if

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a

$a_{r} = 0 a n d a_{t} \neq 0$

b

$a_{r} \neq 0 a n d a_{t} = 0$

c

$a_{r} = 0 a n d a_{t} = 0$

d

$a_{r} \neq 0 a n d a_{t} \neq 0$

answer is C, D.

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Detailed Solution

In uniform circular motion, $a_{t} = 0,$ but in non-uniform circular motion, $a_{t} \neq 0.$ In both cases, $a_{r} \neq 0.$

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If ar and at represent radial and tangential acceleration respectively, the motion of a particle will be circular if