Figure below shows a liquid being pushed out of the tube by a piston having area of cross section . The area of cross section at the outlet is . If the piston is pushed at a speed of , the speed of outgoing fluid is _________ . [2023]

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Solution

Q.
Figure below shows a liquid being pushed out of the tube by a piston having area of cross section $2.0 {cm}^{2}$ . The area of cross section at the outlet is $10 {mm}^{2}$ . If the piston is pushed at a speed of ${4 cm s}^{- 1}$ , the speed of outgoing fluid is _________ ${cm s}^{- 1}$ . [2023]

Ans.
(80)

$By equation of continuity$

$A_{1} V_{1} = A_{2} V_{2}$

$\Rightarrow V_{2} = \frac{2 \times 4}{10 \times 10^{- 2}} = 80 cm/s$

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