Assertion :There is a triangular plate as shown. A dotted axis is lying in the plane of slab. As the axis is moved downwards, moment of inertia of slab will first decrease then increase. Reason: Axis is first moving towards its centre of mass and then it is receding from it.

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

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If both Assertion and Reason are tl1le but Reason is not the correct explanation of Assertion

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If Assertion is true, but the Reason is false.

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If Assertion is false but the Reason is true

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Solution

The correct option is A If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
At first the axis moves towards the center of mass, distance of axis from COM will decreases, so the moment of inertia will decrease as $M I \propto d i s t a n c e f r o m C O M$ .
After the axis crosses the COM to the other side of it, the distance between the axis and the COM will start to increase again, so Moment of inertia will start to increase.
So, both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

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