Mechanical Properties of Solids

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Question : 21
Total: 21
The marina trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the trench is about 1.1×108 Pa. A steel ball of initial volume 0.32m3 is dropped into the ocean and falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?
Solution:  
Here, P=1.1×108Pa;
V=0.32m3
Bulk modulus for steel B=1.6×1011Pa
ΔV=
PV
B

=
(1.1×108 )×0.32
1.6×1011

=2.2×104m3
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