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Question

A brass scale is graduated at 10C. What is the true length of a zinc rod which measures 60.00 cm on this scale at 30C? Linear expansively of brass = 18×106K1.

A
60.02 cm
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B
60.2 cm
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C
61.02 cm
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D
60.0002 cm
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Solution

The correct option is A 60.02 cm
Since the scale is graduated at 10C,
1 cm of the scale at 10C = exactly 1 cm
1 cm of the scale at 30C
=exactly(1+18×106×20)cm
60 cm of the scale at 30C
=exactly 60.00(1+36×105)
=60.02 cm

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