Select the correct option for the adjoining situation in which liquid is flowing through a pipe of variable cross-section ( $P_{1}, P_{2}$ represent pressure)

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$P_{1} > P_{2}$ or all values of $L_{1}$ and $L_{2}$

$P_{1} < P_{2}$ for all values of $L_{1}$ and $L_{2}$

$v_{1} > v_{2}$ if $L_{1} > L_{2}$

$v_{1} < v_{2}$ for all values of $L_{1}$ and $L_{2}$

answer is B, D.

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Detailed Solution

$∵ A v =$ constant

$P + \frac{1}{2} ρ V^{2} =$ constant

$A_{1} > A_{2} v_{1} < v_{2} \Rightarrow P_{1} > P_{2}$

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