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JEE Mains · Physics · STD 11 - 9.1 fluid mechanics

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 fluidis \(.........\,cm s ^{-1}\).

  1. A \(70\)
  2. B \(60\)
  3. C \(80\)
  4. D \(50\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(80\)

Step-by-step Solution

Detailed explanation

By equation of continuity \(A _1 V _1= A _2 V _2\) \(V _2=\frac{2 \times 4}{10 \times 10^{-2}}=80\,cm / s\)
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