The angular velocity of the earth with which it has to rotate so that acceleration due to gravity on $60^o$ latitude becomes zero is (Radius of earth $= 6400\, km$. At the poles $g = 10\,m{s^{ - 2}})$

  • A

    $2.5 \times {10^{ - 3}}\,rad/s$

  • B

    $5.0 \times {10^{ - 1}}\,rad/s$

  • C

    $10 \times {10^1}\,rad/s$

  • D

    $7.8 \times {10^{ - 2}}\,rad/s$

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