Civil Engineering > GATE 2026 SET-1 > Surveying
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 11 × 10−6 per °C. The correction in the measured length (in mm) due to change in temperature is ______ (in integer).

Correct : 22

The temperature correction in tape measurement accounts for the expansion or contraction of the tape relative to its standardisation temperature. The correction formula is:
Ct = α × (T − T₀) × L
where α is the coefficient of expansion, T is the field temperature, T₀ is the standardisation temperature, and L is the measured length.
Substituting values:
Ct = 11 × 10⁻⁶ × (35 − 25) × 200 = 11 × 10⁻⁶ × 10 × 200 = 0.022 m = 22 mm
Since the field temperature (35°C) is higher than the standardisation temperature (25°C), the tape has expanded, meaning the actual length measured is slightly more than what the tape readings suggest — this is a positive correction that must be added to the measured length to get the true distance.
Correct answer: 22 mm ✓

Similar Questions

The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ±(a mm + b ppm) Which one of the following statements is correct?
#217 MCQ
The observed bearings of a traverse are given below: The station(s) most likely to be affected by the local attraction is/are
#234 MCQ
The method of orientation used, when the plane table occupies a position not yet located on the map, is called as
#278 MCQ

Related Topics

temperature correction tape measurement GATE 2026 GATE Civil 2026 Set-1 Q34 tape correction coefficient expansion 22mm GATE civil Ct equals alpha T minus T0 times L formula GATE surveying tape temperature correction GATE

Unique Visitor Count

Total Unique Visitors

Loading......