Practice question
Question
A copper sheet has an area of 2 m² at 25° C . What will be its area at 225° C ? ( α_l = 1.7 × 10â»âµ K^{-1 )
Explanation
Given:
A copper sheet has an area of 2 m² at 25° C . What will be its area at 225° C ? ( α_l = 1.7 × 10â»âµ K^{-1 )
These values define the system as per NCERT data.
Formula:
Given: A_0 = 2 m², Δ T = 225 - 25 = 200° C, α_l = 1.7 × 10â»âµ K^{-1.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Area expansion: Δ A = A_0 × 2 α_l Δ T = 2 × 2 × 1.7 × 10â»âµ × 200 = 0.0136 m² . New area: A = A_0 + Δ A = 2 + 0.0136 = 2.0136 m² .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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