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Assertion : The difference in the value ...

Assertion : The difference in the value of acceleration due to gravity at pole and equator is proportional to square of angular velocity of earth.
Reason : the value of acceleration due to gravity is minimum at the equator and maximum at the pole.

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The correct Answer is:
B

Acceleration due to gravity.
`g'=g-R_(v) omega^2 cos^2lambda`
`"At equator", lambda=0^(@) therefore cos 0^(@)=1`
`therefore g_(e)=g-R_(e)omega^(2)`
At poles `lambda=90^(@)" "cos theta 90^(@)=0 therefore g_(p)=g`
Thus, `g_=-g_(e)=g-g+R_(e)omega^(2)=R_(e)omega^(2)`
Also, the value of g is maximum at poles and minimum at equator.
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