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JEE Main 202131 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
31 August
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2021 · 31 August · Morning Shift · Physics · Mechanical Properties of Solids

When a rubber ball is taken to a depth of _______ m in deep sea,...

When a rubber ball is taken to a depth of _______ mm in deep sea, its volume decreases by 0.50 . 5 %
(The bulk modulus of rubber =9.8×108Nm−2= 9 . 8 \times {10}^{8}N{m}^{- 2} Density of sea water =103kgm−3= {10}^{3}kg{m}^{- 3},g=9.8ms−2g = 9 . 8m{s}^{- 2})

Correct answer

0

Step-by-step solution

−dVV=0.5100=0.005\dfrac{- dV}{V} = \dfrac{0 . 5}{100} = 0 . 005
B=−dPdVV=ρgh−dVVB = \dfrac{- dP}{\dfrac{dV}{V}} = \dfrac{ρgh}{\dfrac{- dV}{V}}
9.8×108=103×9.8×h5×10−3⇒h=500m9 . 8 \times {10}^{8} = \dfrac{{10}^{3} \times 9 . 8 \times h}{5 \times {10}^{- 3}} ⇒ h = 500m
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