Assertion : The pressure of water increases w | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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.

Vedclass · Answer

(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.

Similar Questions

Is Bernoulli's equation unsteady? Explain.

When a fluid passes through a constricted part of a pipe, what happens to its velocity and pressure?

To get the maximum flight (Magnus effect),a ball must be thrown as:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion :$ 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.