Assertion :The velocity increases, when water flowing in broader pipe enters a narrow pipe. Reason: According to equation of continuity, product of area and velocity is constant.

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
Equation of continuity : $A_{1} V_{1} = A_{2} V_{2} = k$ (constant)
Based on conservation of mass
We find, $V_{2} = (\frac{A_{1}}{A_{2}}) V_{1}$ , if $A_{1} > A_{2}$
$\Rightarrow V_{1} < V_{2}$
So assertion and reason are correct.

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Assertion :The velocity increases, when water flowing in broader pipe enters a narrow pipe. Reason: According to equation of continuity, product of area and velocity is constant.

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionEquation of continuity :A1V1=A2V2=k (constant)Based on conservation of massWe find, V2=(A1A2)V1, if A1>A2⇒V1<V2So assertion and reason are correct.