A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 x 10° N/m² is put into a chamber where the pressure is 1.0 x 106 N/m2. What is the change in the diameter of the sphere caused by this change in pressure? The bulk modulus for copper is 1.4 x 1011 Pa.

A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 x 10° N/m² is put into a chamber where the pressure is 1.0 x 106 N/m2. What is the change in the diameter of the sphere caused by this change in pressure? The bulk modulus for copper is 1.4 x 1011 Pa.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 9PQ

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

A copper sphere that is 10 cm in diameter at an atmospheric pressure of 1.01 × 105 N/m2 is put
into a chamber where the pressure is 1.0 × 106 N/m2. What is the change in the diameter of the
sphere caused by this change in pressure? The bulk modulus for copper is 1.4 × 1011 Pa.
O 7.1 x 105 cm
-7.1 x 104 cm
O 2.1 x 10-5 cm
-2.1 x 104 cm
О-7.1 х 10°6 ст

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