A thin rod consists of two parts joined together. Two-fifths of it is silver and three-fifths is gold. The temperature decreases by 27 C°.ΔL/(L0,Silver + L0,Gold)Determine the fractional decrease in the rod's length using the formula above, where L0,Silver and L0,Gold are the initial lengths of the silver and gold rods.

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Asked Jun 20, 2019
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A thin rod consists of two parts joined together. Two-fifths of it is silver and three-fifths is gold. The temperature decreases by 27 C°.

ΔL/(L0,Silver + L0,Gold)

Determine the fractional decrease in the rod's length using the formula above, where L0,Silver and L0,Gold are the initial lengths of the silver and gold rods.

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Expert Answer

Step 1

The fractional decrease in length of the rod=∆L

The initial length of the silver rod=L0,silver

The initial length of the gold rod= L0,gold

The equation for fractional decrease in length is.

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AL Lo.silverLogald

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Step 2

The total decrease in length is equal to the sum of the decrease in length of both gold and silver rod.

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(I) silver gold

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Step 3

Write the expression for the decrease in length in terms of coefficient...

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here, a is the coefficient of linear expansion AL aLAT (II) AT is the time Lo is the initial length

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