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JEE Main 202117 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
17 March
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2021 · 17 March · Evening Shift · Physics · Mechanical Properties of Solids

An object is located at 2km beneath the surface of the water. If...

An object is located at 2km2km beneath the surface of the water. If the fractional compression \DeltaVV\dfrac{\DeltaV}{V} is 1.361 . 36 %, the ratio of hydraulic stress to the corresponding hydraulic strain will be ______[Given: density of water is 1000kgm−31000kg{m}^{- 3} and g=9.8ms−2.g = 9 . 8{ms}^{- 2} .

Options

  1. A1.96×107Nm−21 . 96 \times {10}^{7}N{m}^{- 2}
  2. B1.44×107Nm−21 . 44 \times {10}^{7}N{m}^{- 2}
  3. C2.26×109Nm−22 . 26 \times {10}^{9}N{m}^{- 2}
  4. D1.44×109Nm−21 . 44 \times {10}^{9}N{m}^{- 2}

Correct answer

D. 1.44×109Nm−21 . 44 \times {10}^{9}N{m}^{- 2}

Step-by-step solution

P=hρgP = hρg

β=p\DeltaVV=2×103×103×9.81.36×10−2\beta = \dfrac{p}{\dfrac{\DeltaV}{V}} = \dfrac{2 \times {10}^{3} \times {10}^{3} \times 9 . 8}{1 . 36 \times {10}^{- 2}}

=1.44×109Nm−2= 1 . 44 \times {10}^{9}N{m}^{- 2}

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