A particle moves in a circular path of radius $r$ with speed $v.$ It then increases its speed to $2\,v$ while travelling along the same circular path. The centripetal acceleration of the particle has changed by a factor of

  • A

    $0.25$

  • B

    $0.5$

  • C

    $2$

  • D

    $4$

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  • [AIPMT 2005]

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