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Question

A particle is going with constant speed along a uniform helical and spiral path separately as shown in figure then

[Assume that the vertical acceleration of the particle is negligible in case (a)]

764023_f85a4cfd602540fa9af962ca9ac54083.png

A
The velocity of the particle is constant in both cases
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B
The magnitude of acceleration of the particle is constant in both cases
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C
The magnitude of acceleration is constant in (a) and decreasing in (b)
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D
The magnitude of acceleration is decreasing continuously in both the cases
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Solution

The correct option is C The magnitude of acceleration is constant in (a) and decreasing in (b)
Since acceleration, a=v2r
and velocity is uniform and radius is constant in figure (a)
Therefore, acceleration is constant.
But in figure (b), although the velocity is constant but the radius is increasing.
Therefore, acceleration is decreasing.

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