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A surveyor's 30 m steel tape is correct ...

A surveyor's 30 m steel tape is correct at a temperature of `20^@C`. The distance between two points, as measured by this tape on a day when the temperature is `35^@C`. Is 26m. What is the true distance between the point?
`(a_("steel")=1.2xx10^(-5@)C`)

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AI Generated Solution

To find the true distance between two points measured with a steel tape at a different temperature, we can use the formula for the correction in length due to temperature changes. Here’s the step-by-step solution: ### Step 1: Identify the Given Values - Measured length (L_measured) = 26 m - Correct temperature (T_correct) = 20 °C - Measured temperature (T_measured) = 35 °C - Coefficient of linear expansion for steel (α) = 1.2 × 10^(-5) °C^(-1) ...
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