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Concepts Of Physics MCQ Edition [Volume 2]PhysicsHeat and Temperature

On a winter night when the temperature is 0^ C , a concrete slab has a length of 10 m . Determine the length of the slab on a summer day when the temperature reaches 35^ C . The coefficient of linear expansion for concrete is 1.0 10⁻⁵ ^ C ⁻¹ .

Options

  1. A10.00035 m
  2. B10.0035 m
  3. C10.035 m
  4. D10.35 m

Correct answer

B. 10.0035 m

Step-by-step solution

Initial length of the concrete slab, L₀ = 10 m Initial temperature, T₁ = 0^ C Final temperature, T₂ = 35^ C Change in temperature, T = T₂ - T₁ = 35^ C Coefficient of linear expansion, = 1.0 10⁻⁵ ^ C ⁻¹ Using the formula for linear expansion: L = L₀ T L = 10 1.0 10⁻⁵ 35 L = 350 10⁻⁵ = 0.0035 m The final length of the slab is: L = L₀ + L L = 10 + 0.0035 = 10.0035 m

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