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QJEEM22Phcd5a: JEE Main 2022 Physics - Class 11 JEEM22Phcd5a Solution: A liquid of density 750 kgm 3 flows smoothly through a…

A liquid of density 750 kgm −- 3 flows smoothly through a horizontal pipe that tapers in cross-sectional area from A1 = 1.2 ×\times 10 −- 2 m2 to A2 = A12{{{A_1}} \over 2} . The pressure difference between the wide and narrow sections of the pipe is 4500 Pa. The rate of flow of liquid is ___________ ×\times 10 −- 3 m3s −- 1.

Step-by-Step Verified Solution

JEE Main 2022 (Online) 28th June Evening Shift Physics - Properties of Matter Question 146 English Explanation

Using Bernoulli's equation

P1+12ρv2=P2+12ρ4v2{P_1} + {1 \over 2}\rho {v^2} = {P_2} + {1 \over 2}\rho 4{v^2}

32ρv2=P1−P2{3 \over 2}\rho {v^2} = {P_1} - {P_2}

⇒v=2(P1−P2)3ρ\Rightarrow v = \sqrt {{{2({P_1} - {P_2})} \over {3\rho }}}

=2×45003×750=2= \sqrt {{{2 \times 4500} \over {3 \times 750}}} = 2 m/sec

So Q=A1v=24×10−3Q = {A_1}v = 24 \times {10^{ - 3}} m3/sec

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