Given,
length(l)= 700m = 700 x 100 cm = 70000cm
coefficient of linear expansion(α)=11𝑋10^−6/K
change in temperature(ΔT)=(243K−131K)= 112K
The change in length due to temperature variation can be calculated using the formula:
ΔL=L⋅α⋅ΔT
where L is the original length, α is the coefficient of linear expansion, and ΔT is the change in temperature.
Then,
=70000cm x 11 x 10^−6/K x 112K
=86.24 cm
Hence, the correct answer is option d. 86.24cm
Given,
length(l)= 700m = 700 x 100 cm = 70000cm
coefficient of linear expansion(α)=11𝑋10^−6/K
change in temperature(ΔT)=(243K−131K)= 112K
The change in length due to temperature variation can be calculated using the formula:
ΔL=L⋅α⋅ΔT
where L is the original length, α is the coefficient of linear expansion, and ΔT is the change in temperature.
Then,
=70000cm x 11 x 10^−6/K x 112K
=86.24 cm
Hence, the correct answer is option d. 86.24cm