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Question

A rod is measured using a scale. The reading is 60 cm at 12C. If thermal coefficient of linear expansion of the rod is 3×105/C, the reading of the rod at 42C is:
(Assume the scale does not expand)

A
60.025 cm
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B
60.054 cm
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C
60.065 cm
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D
59.985 cm
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Solution

The correct option is B 60.054 cm
The increment in length
=αlΔT
=3×105×60×(4212)
=3×105×60×30
=54×103 cm
=0.054 cm
So, total length =(60+0.054) cm
=60.054 cm

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