Answer:
-376°
Explanation:
ΔL = L(f) - L(i)
ΔL = α.L(i).[Δθ]
To remove the ring from the rod, then the final diameter of the ring must be as large as the final diameter of the rod.
Thus, we could write that
L(f-br) = L(f-al) = L(br) + α(br).L(br)Δθ = L(al) + α(al).L(al)Δθ
If we collect like terms and make Δθ subject of the formula, then we have
Δθ = [L(al) - L(br)] / [α(br).L(br) - α(al).L(al)]
Now, at 10.02 cm, we then have
Δθ = [10.02 - 10] / [(1.9*10^-6 * 10.01) - (24*10^-6 * 10.02)]
Δθ = -396°
T(f) = T(i) + ΔT
T(f) = 20 - 396
T(f) = -376° which can't be attained
