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JEE Main 202124 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
24 February
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2021 · 24 February · Morning Shift · Physics · Mechanical Properties of Fluids

A hydraulic press can lift 100kg when a mass m is placed on the...

A hydraulic press can lift 100kg100kg when a mass mm is placed on the smaller piston. It can lift kg when the diameter of the larger piston is increased by 44 times and that of the smaller piston is decreased by 44 times keeping the same mass mm on the smaller piston.A hydraulic press can lift 100kg when a mass m is placed on the smaller piston. It can lift kg when the diameter of the

Correct answer

25600

Step-by-step solution

Using Pascals law,

A hydraulic press can lift 100kg when a mass m is placed on the smaller piston. It can lift kg when the diameter of the

100×gA2=mgA1...(1)\dfrac{100 \times g}{{A}_{2}} = \dfrac{mg}{{A}_{1}} . . . \left(1\right)

Let mm mass can lift M0{M}_{0} in second case then

M0g16A2=mgA1/16...(2)\dfrac{{M}_{0}g}{16{A}_{2}} = \dfrac{mg}{{A}_{1} / 16} . . . \left(2\right)

\left\{SinceA = \dfrac{\pi{d}^{2}}{4}\right\}</p><p>Fromequation(1)</p><p>From equation \left(1\right) and \left(2\right)weget</p><p>we get</p><p>\dfrac{{M}_{0}}{16 . 100} = 16</p><p></p><p>⇒ {M}_{0} = 25600kg

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