   # Markings to indicate length are placed on a steel tape in a room that is at a temperature of 22°C. Measurements are then made with the same tape on a day when the temperature is 27°C. Assume the objects you are measuring have a smaller coefficient of linear expansion than steel. Are the measurements (a) too long, (b) too short, or (c) accurate? ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 19, Problem 19.1OQ
Textbook Problem
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## Markings to indicate length are placed on a steel tape in a room that is at a temperature of 22°C. Measurements are then made with the same tape on a day when the temperature is 27°C. Assume the objects you are measuring have a smaller coefficient of linear expansion than steel. Are the measurements (a) too long, (b) too short, or (c) accurate?

To determine

The statement which is not true among the given statements.

### Explanation of Solution

Given Info: The temperature of the tape measured at room is 22°C , the temperature of the tape measured at room is 27°C .

The formula to calculate the change in the length of the substance at different temperature is,

ΔL=αL1(T2T1) (1)

Here,

α is the coefficient of linear expansion for the substance.

L1 is the original length of the substance.

T1 is the initial temperature of the substance.

T2 is the final temperature of the substance.

The coefficient linear expansion of the steel is 11×106(°C)1

Substitute 11×106(°C)1 for α , 22°C for T1 and 27°C for T2 in the equation (1)

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