GATE CE 2026 Set 1 — Question 34
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Geomatics Engineering → Distance & Angle Measurement → Linear Measurement
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Question
A 30 m long tape is standardized at 25 C. It was used to measure the length of a line which came out to be 200 m. The temperature during the measurement was 35 C. The coefficient of expansion of the tape was per C. The correction in the measured length (in mm) due to change in temperature is ______ (in integer).
Correct answer
22 to 22
Solution
The correction for temperature () is given by the formula:
Where:
m (measured length)
per C (coefficient of thermal expansion)
C (temperature during measurement)
C (standard temperature)Substituting the values:
mTo convert the correction to mm:
mm.
Where:
m (measured length)
per C (coefficient of thermal expansion)
C (temperature during measurement)
C (standard temperature)Substituting the values:
mTo convert the correction to mm:
mm.
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