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Two syringes of different cross sections (without needles) filled with water are connected with a tightly fitted rubber tube filled with water. Diameters of the smaller piston and larger piston are 1.0cm and 3.0 cm respectively. If the smaller piston is pushed in through 6.0 cm, how much does the larger piston move out

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0.18 cm

0.67 cm

0.32 cm

0.96cm

answer is C.

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Detailed Solution

A_{1} x_{1} = A_{2} x_{2}

$0.5 \times 0.5 \times 0.6 = 1.5 \times 1.5 \times S_{2}$

$S_{2} = \frac{0.25 \times 0.6}{1.25} = \frac{0.6}{9}$

$S_{2} = 0.67 cm$

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