Assertion :A wooden block is floating in liquid as shown in the figure. In vertical direction, equilibrium of block is stable. Reason: When depressed in downward direction it starts oscillating.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Let s be cross-section area of block.
Force on displacing it by $x$ is weight of water displaced i.e. $v o l . \times d e n s i t y \times g$
$f = - s x ρ g$
since $f \propto - x$
It is in oscillation and hence in stable equilibrium.

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