Question

The length of copper wire at 20⁰c is 4.5m. Calculate its new length when the temperature is 95⁰c. Given a=1.7×10‐⁵ ⁰c

Answer 1

Answer:

Explanation:

           l2 = l1 (1+a ΔT)

         l2 = 4.5 x (1+ 0.001275)

        l2 = 4.506 (approx)

              hope u get it mate...................................

Answer 2

Answer:

The new length of copper when the temperature is 95⁰C is 4.5 m.

Explanation:

We can use the formula for thermal expansion to calculate the new length of the copper wire:

ΔL = αLΔT

where ΔL is the change in length, L is the initial length, α is the coefficient of linear thermal expansion, and ΔT is the change in temperature.

Substituting the given values, we get:

ΔT = 95°C - 20°C = 75°C

α = 1.7 × $10^{-5}$ /⁰C

L = 4.5 m

ΔL = αLΔT = (1.7 × $10^{-5}$ / ⁰C) × (4.5 m) × (75°C) = 0.0057375 m

Therefore, the new length of the copper wire at 95°C is:

L' = L + ΔL = 4.5 m + 0.0057375 m = 4.5057375 m

Rounded to one decimal place, the new length of the copper wire at 95°C is approximately 4.5 m.

Therefore, the new length when the temperature is 95⁰C is 4.5 m.

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