A particle is moving along an expanding spiral in such a manner that magnitude of normal acceleration of particle remains constant. Choose the correct options.

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Linear speed of particle is increasing

Linear speed of particle is decreasing

Angular speed of particle is increasing

Angular speed of particle is decreasing

answer is A, D.

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Detailed Solution

Normal acceleration is $a_{n} = \frac{v^{2}}{r}$ . As $r$ increases, $v$ also increases to keep $a_{n}$ constant.

Also $a_{n} = ω^{2} r .$ So as r increases , $ω s h o u l d d e c r e a s e t o k e e p a_{n} c o n s \tan t .$

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