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JEE Advanced 2020Paper 2
Exam
JEE Advanced
Year
2020
Paper
Paper 2
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Advanced 2020 · Paper 2 · Physics · Mechanical Properties of Solids

A cubical solid aluminum (bulkmodulus = - V(dP)/(dV) = 70GPa) block...

A cubical solid aluminum (bulkmodulus=−VdPdV=70GPa)\left(bulkmodulus = - V\dfrac{dP}{dV} = 70GPa\right) block has an edge length of 1m1m on the surface of the earth. It is kept on the floor of a 5km5km deep ocean. Taking the average density of water and the acceleration due to gravity to be 103kgm−3and10ms−2{10}^{3}kg{m}^{- 3} and 10m{s}^{- 2}, respectively, the change in the edge length of the block in mmmm is ________.

Correct answer

0

Step-by-step solution

B=P(−dVV)⇒dVV=−PB⇒3dℓℓ=PBB = \dfrac{P}{\left(- \dfrac{dV}{V}\right)} ⇒ \dfrac{dV}{V} = - \dfrac{P}{B} ⇒ 3\dfrac{dℓ}{ℓ} = \dfrac{P}{B}

dℓ=(−PB)ℓ3=103kgm3×10ms2×5×10370×109×1m3dℓ = \left(\dfrac{- P}{B}\right)\dfrac{ℓ}{3} = \dfrac{{10}^{3}\dfrac{kg}{{m}^{3}} \times \dfrac{10m}{{s}^{2}} \times 5 \times {10}^{3}}{70 \times {10}^{9}} \times \dfrac{1m}{3}

dℓ=0.238×10−3dℓ = 0 . 238 \times {10}^{- 3}

⇒dℓ=0.238mm⇒ dℓ = 0 . 238mm

=0.24= 0 . 24

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