A Copper Sphere That Is 10 Cm in Diameter $1.01 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }$

A copper sphere that is 10 cm in diameter at an atmospheric pressure of $1.01 \times 10 ^ { 5 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
is put into a chamber where the pressure is $1.0 \times 10 ^ { 6 } \mathrm {~N} / \mathrm { m } ^ { 2 }$
What is the change in the diameter of the sphere caused by this change in pressure? The bulk modulus for copper is $1.4 \times 10 ^ { 11 } \mathrm {~Pa}$

A) $- 7.1 \times 10 ^ { - 4 } \mathrm {~cm}$
B) $- 2.1 \times 10 ^ { - 5 } \mathrm {~cm}$
C) $- 7.1 \times 10 ^ { - 5 } \mathrm {~cm}$
D) $- 7.1 \times 10 ^ { - 6 } \mathrm {~cm}$
E) $- 2.1 \times 10 ^ { - 4 } \mathrm {~cm}$

Correct Answer:

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