A thin copper wire of length L increases in length by 1 % when heated from temperature T 1 to T 2 . The percentage change in the area when a thin copper plate having dimensions 2 L × L is heated from T 1 to T 2 is

Question

A thin copper wire of length L increases in length by 1 % when heated from temperature T 1 to T 2 . The percentage change in the area when a thin copper plate having dimensions 2 L × L is heated from T 1 to T 2 is, 2 %, 1 %, 4 %, 3 %

MARKS App · Accepted Answer

Fractional charge in length Δ l l = α . Δ θ Fractional change in area Δ A A = β . Δ θ But β = 2 α ∴ Δ A A = 2 α Δ θ Δ A A = 2 Δ l l Δ A A = 2 1 % = 2 %

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