Assertion : The pressure of water increases w | vedclass

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Question

(A) According to the equation of continuity,$A_1v_1 = A_2v_2$. When water flows from a narrow pipe (small area $A_1$) to a wider pipe (large area $A_2

Vedclass · Accepted Answer

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

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(A) According to the equation of continuity,$A_1v_1 = A_2v_2$. When water flows from a narrow pipe (small area $A_1$) to a wider pipe (large area $A_2$),the velocity $v$ decreases because $v \propto 1/A$.According to Bernoulli's principle,$P + \frac{1}{2}ho v^2 + ho gh = 	ext{constant}$.For a horizontal pipe $(h = 	ext{constant})$,as the velocity $v$ decreases,the pressure $P$ must increase to keep the sum constant.Therefore,the pressure increases when water flows from a narrow pipe to a wider pipe.Both the Assertion and the Reason are correct,and the Reason correctly explains the Assertion.

$Assertion :$ The pressure of water increases when it flows from a narrow pipe to a wider pipe.
$Reason :$ According to the equation of continuity,$A_1v_1 = A_2v_2$,and by Bernoulli's principle,where velocity is high,pressure is low.

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$Assertion :$ The pressure of water increases when it flows from a narrow pipe to a wider pipe.$Reason :$ According to the equation of continuity,$A_1v_1 = A_2v_2$,and by Bernoulli's principle,where velocity is high,pressure is low.