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JEE Main 20238 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
8 April
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2023 · 8 April · Evening Shift · Physics · Mechanical Properties of Fluids

A hydraulic automobile lift is designed to lift vehicles of mass...

A hydraulic automobile lift is designed to lift vehicles of mass 5000kg5000kg. The area of cross section of the cylinder carrying load is 250cm2250{cm}^{2}. The maximum pressure the smaller piston would have to bear is [Assume g=10ms−2g = 10m{s}^{- 2}]

Options

  1. A20×106Pa20 \times {10}^{6}Pa
  2. B2×105Pa2 \times {10}^{5}Pa
  3. C200×106Pa200 \times {10}^{6}Pa
  4. D2×106Pa2 \times {10}^{6}Pa

Correct answer

D. 2×106Pa2 \times {10}^{6}Pa

Step-by-step solution

The given data is

m=5000kgg=10ms−2A=250×10−4m2m = 5000kgg = 10m{s}^{- 2}A = 250 \times {10}^{- 4}{m}^{2}

Using the formula of pressure,

P=FA=mgAP = \dfrac{F}{A} = \dfrac{mg}{A}
=5000×10250×10−4= \dfrac{5000 \times 10}{250 \times {10}^{- 4}}

=2×106Nm−2=2×106Pa= 2 \times {10}^{6}N{m}^{- 2} = 2 \times {10}^{6}Pa

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