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AP EAMCET · PHYSICS · Mechanical Properties of Fluids

In a vehicles lifter, the enclosed gas exerts a force \(F\) on a small piston of \(8 \mathrm{~cm}\) diameter.
The pressure is transmitted to a second piston of diameter \(24 \mathrm{~cm}\). If the mass of the vehicle to be lifted is \(1400 \mathrm{~kg}\), then \(F\) must at least be \(\left(g=10 \mathrm{~ms}^{-2}\right)\)

  1. A \(1600 \mathrm{~N}\)
  2. B \(1200 \mathrm{~N}\)
  3. C \(1800 \mathrm{~N}\)
  4. D \(700 \mathrm{~N}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1600 \mathrm{~N}\)

Step-by-step Solution

Detailed explanation

Given, force on small piston, \(F_1=F\) Diameter of small piston, \(d_1=8 \mathrm{~cm}\) Mass of vehicle placed on large piston (lift), \[ M=1400 \mathrm{~kg} \] Diameter of large piston, \(d_2=24 \mathrm{~cm}\) By using Pascal's law, Equal pressure will be transmitted from…
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