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Question

Correct me if I am wrong
The Coriolis force deflects the wind to the right in the southern hemisphere and to the left in the northern hemisphere.

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Solution

No, the Coriolis force deflects the WIND to the RIGHT in the NORTHERN HEMISPHERE and to the LEFT in the SOUTHERN HEMISPHERE.
Coriolis force is an inertial force acting on objects that are moving with respect to a rotating frame. It is the force acting in a perpendicular direction of the motion and the axis of the rotating plane. Hence a moving object on the rotating plane is deflected to the right if the plane is rotating in an anti-clockwise direction and is deflected to the left if the plane is rotating in clockwise direction.
With respect to the poles, as the earth rotates from west to east, at the north pole the rotation is in an anticlockwise direction and so the wind is deflected to the right in the northern hemisphere and at the south pole the rotation is in a clockwise direction and so the wind is deflected to the left. The wind is moving from the equator to the poles because of pressure difference which is high at the equator and low at the poles.

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