The first length standard, adopted in the 18th century, was a platinum bar with two very

Chapter 13, Problem 90GP

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QUESTION:

Problem 90GP

The first length standard, adopted in the 18th century, was a platinum bar with two very fine marks separated by what was defined to be exactly 1m. If this standard bar was to be accurate to within ± 1.0 μm, how carefully would the trustees have needed to control the temperature? The coefficient of linear expansion for platinum is 9 × 10–6 C°–1.

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QUESTION:

Problem 90GP

The first length standard, adopted in the 18th century, was a platinum bar with two very fine marks separated by what was defined to be exactly 1m. If this standard bar was to be accurate to within ± 1.0 μm, how carefully would the trustees have needed to control the temperature? The coefficient of linear expansion for platinum is 9 × 10–6 C°–1.

ANSWER:

Solution 90 GP:

Step 1 of 1:-

Here we have to calculate the accuracy at which the trustees should measure the temperature.

The distance between two points in the stick is: 1 meter.

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