SSC (English Medium) Class 8Maharashtra State Board
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# Solve the Following Example - SSC (English Medium) Class 8 - Science

ConceptConcept of Temperature

#### Question

Solve the following example.

A bridge is made from 20 m long iron rods. At temperature 18C, the distance between two rods in 0.4 cm. Up to what temperature will   the bridge be in good shape?

#### Solution

Length of the iron rod = 20 m = 2000 cm at 18C
Distance between the length of two rods, = 0.4 cm Temperature coefficient of linear expansion of iron = 11.5 × 10-6 ° C-1

The bridge will be in good shape till both the rods expand by 0.2 cm as the temperature is increased. Let at temperature T, both the rods expand by 0.2 cm i.e. the total expansion is 0.4 cm.
Using formula for linear expansion of solids, we have

(triangle l )/l = alpha_l triangle T

=> 0.4/20000 = 11.5 xx 10^(-6) xx ("T" - 16)

"T" =18 + 0.4/(2000 xx 11.5 xx 10^(-6)) = 35.4° "C"

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Science - General Science (2018 to Current)
Chapter 14: Measurement and Effects of Heat
Exercise | Q: 4.2 | Page no. 103
Solution Solve the Following Example Concept: Concept of Temperature.
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