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A Concrete Slab Has a Length of 10 M on a Winter Night When the Temperature is 0°C. - Physics

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प्रश्न

A concrete slab has a length of 10 m on a winter night when the temperature is 0°C. Find the length of the slab on a summer day when the temperature is 35­°C. The coefficient of linear expansion of concrete is 1.0 × 10–5 °C–1.

थोडक्यात उत्तर
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उत्तर

Given:
Length of the slab when the temperature is 0°C,  L0 = 10 m
Temperature on the summer day, t = 35­ °C
Let L1 be the length of the slab on a summer day when the temperature is 35°C.
The coefficient of linear expansion of concrete, α = 1 ×10–5 °C-1

\[L_1 = L_0 \left( 1 +∝t\right)\]

\[\Rightarrow L_1\] = 10 (1 + 10–5 × 35)

\[\Rightarrow L_1\] = 10 + 35 × 10–4

\[\Rightarrow L_1\] = 10.0035 m
​So, the length of the slab on summer day when the temperature is 35oC is 10.0035 m. 

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पाठ 1: Heat and Temperature - Exercises [पृष्ठ १३]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
पाठ 1 Heat and Temperature
Exercises | Q 10 | पृष्ठ १३

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