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  • A piston of cross-sectional area 100 cm2 is used in a hydraulic pressure is exert a force of 107 dynes on the water. The cross-sectional area of the other piston whi

A piston of cross-sectional area 100 cm2 is used in a hydraulic pressure is exert a force of 107 dynes on the water. The cross-sectional area of the other piston which support a truck of mass 2000 kg is 

Option: 1

9.8 \times 10^2 \mathrm{~cm}^2


Option: 2

9.8 \times 10^3 \mathrm{~cm}^2


Option: 3

1.96 \times 10^3 \mathrm{~cm}^2


Option: 4

1.96 \times 10^4 \mathrm{~cm}^2


Answers (1)

best_answer

\begin{aligned} \frac{F_1}{A_2} & =\frac{F_2}{A_2} \\ \therefore A_2=\frac{F_2}{F_1} \cdot A_1 & =\left(\frac{2000 \times 9.8}{10^2}\right) 100 \\ & =1.96 \times 10^4 \mathrm{~cm}^2 \end{aligned}

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Ritika Kankaria

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