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Question

A particle moves in a circle describing equal angle in equal times, its velocity vector

A
remains constant
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B
changes in magnitude
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C
change in direction
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D
changes in magnitude and direction
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Solution

The correct option is C change in direction
Let the particle describes an angle θ radian in time t second.
Angular velocity w=θt rad/s
Thus its linear velocity v=rw=rθt=constant
Hence the magnitude of velocity is constant.
But the velocity vector is tangential to the circular motion, thus it changes its direction at every instant.

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