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Sample exercises

Grades 9–12 · Materials

A rod has L₀=6 m and α=28×10⁻⁶ K⁻¹. For temperature rise 11 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

Answer and explanation

1.848 mm

Use ΔL=(28×10⁻⁶)(6)(11) m, then convert metres to millimetres.

Grades 9–12 · Materials

A rod has L₀=10 m and α=14×10⁻⁶ K⁻¹. For temperature rise 17 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

Answer and explanation

2.38 mm

Use ΔL=(14×10⁻⁶)(10)(17) m, then convert metres to millimetres.

Grades 9–12 · Materials

A rod has L₀=9 m and α=13×10⁻⁶ K⁻¹. For temperature rise 65 K, find length increase in mm. Round the final result to 4 decimal places if needed. Answer in mm.

Answer and explanation

7.605 mm

Use ΔL=(13×10⁻⁶)(9)(65) m, then convert metres to millimetres.

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