Practice question
Question
A copper plate has an area of 0.8 m² at 60° C . What is the decrease in area when cooled to 10° C ? ( α_l = 1.7 × 10⁻⁵K^{-1 )
Explanation
Given:
A copper plate has an area of 0.8 m² at 60° C . What is the decrease in area when cooled to 10° C ? ( α_l = 1.7 × 10⁻⁵K^{-1 )
These values define the system as per NCERT data.
Formula:
Given: A_0 = 0.8 m², Δ T = 10 - 60 = -50° C, α_l = 1.7 × 10⁻⁵K^{-1.
This is standard NCERT relation.
Substitution & Calculation:
Δ A = A_0 × 2 α_l Δ T = 0.8 × 2 × 1.7 × 10⁻⁵ × (-50) . Δ A = 0.8 × 3.4 × 10⁻⁵ × (-50) = -0.00136 m² (decrease of 0.00136 m² ).
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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