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Q. 16

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 511

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Short Answer

Two students each build a piece of scientific equipment that uses a 655 mm-long metal rod. One student uses a brass rod, the other an invar rod. If the temperature increases by C, how much more does the brass rod expand than the invar rod?

The answer is

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Step by Step Solution

Step 1: Description 

Two students each build a piece of scientific equipment that

uses a 655-mm-long metal rod.

The process of thermal expansion occurs when objects are heated as well as expanded. In case the temperature of an object changes through , as well as length changes through and the length's fractional changes are effective to the temperature's change .

Step 2: Result of the rod expansion 

The equation (18.8) in the form is

In this case, is the coefficient. Table 18.4 effectively gives the coefficient expression of linear for common materials, for instance

The equation for is

In this case, L is the initial length. The temperature effectively changes through for brass

For Brass, plug the values of into equation (2) in order to get

plug the values of into equation (2) in order to get

The calculation depicted the brass changes through a larger value of invar and the difference is

Therefore, the answer is

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