Assertion : The velocity of flow of a liquid | vedclass

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(D) According to Bernoulli's theorem,for the streamline flow of an ideal liquid,the sum of pressure energy,kinetic energy,and potential energy per uni

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

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(D) According to Bernoulli's theorem,for the streamline flow of an ideal liquid,the sum of pressure energy,kinetic energy,and potential energy per unit volume remains constant along a streamline.The equation is $P + \frac{1}{2}ho v^2 + ho gh = 	ext{constant}$.If we consider horizontal flow $(h = 	ext{constant})$,then $P + \frac{1}{2}ho v^2 = 	ext{constant}$.This implies that if the pressure $P$ increases,the velocity $v$ must decrease to keep the sum constant,and vice-versa. Thus,the Assertion is correct.The Reason states that the total energy per unit mass remains constant. Bernoulli's theorem states that the total energy per unit volume (or mass) is constant for an ideal fluid. Therefore,the Reason is also correct and provides the physical basis for the Assertion.

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.

Similar Questions

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$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.