GATE Mining Engineering Practice Quiz

Question 1

A steel tape is standardized at 20°C. It is used to measure a line in a mine at 35°C. If the coefficient of linear expansion of the tape is positive, what correction should be applied to the measured length due to temperature?

Accepted Answer

Add a correction because the tape becomes longer at higher temperature

Question 2

A tape is standardized under a pull of 50 N but used in the field under a pull of 80 N. Assuming elastic behavior, what is the sign of pull correction to the measured length?

Accepted Answer

Positive, because higher pull elongates the tape and increases true length

Question 3

A 20 m tape is correct at standard conditions. A 100 m line is measured on a slope of 30° to the horizontal. Ignoring all other corrections, what is the horizontal distance?

Accepted Answer

86.6 m

Question 4

A 30 m tape is actually 30.03 m long under standard conditions. If a line is measured as 300 m with this tape, what is the correct true length considering only standardization correction?

Accepted Answer

300.30 m

Question 5

A line of slope length L is measured on ground inclined at angle θ to the horizontal. Which expression gives the slope correction to be applied to obtain horizontal distance?

Accepted Answer

L(1 - cos θ)

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