$A $ magnet freely suspended in a vibration magnetometer makes $10 $ oscillations per minute at a place $A$  and $20 $ oscillations per minute at a place $B$. If the horizontal component of earth’s magnetic field at $A$ is $36 \times {10^{ - 6}}\,T$, then its value at $B$ is

  • A

    $36 \times {10^{ - 6}}\,T$

  • B

    $72 \times {10^{ - 6}}\,T$

  • C

    $144 \times {10^{ - 6}}\,T$

  • D

    $288 \times {10^{ - 6}}\,T$

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  • [AIPMT 2010]