Question

When ratio of lengths is 4:3 and that of coeff of cubical expansion is 2:3 then what is the ratio of linear expansion

Answer 1

ratio of length of rod = $\frac{l1}{l2}$=$\frac{4}{3}$

ratio of their coefficients of cubical expansion=∝₁/∝₂ = 2/3

we know that,   ४=3∝

now,

∝ = Δl / l Δt

Δt = same

so,

∝ = Δl / l

Δl = l*∝

=>  Δl₁/ Δl₂ = l₁/l₂ * ∝₁/ ∝₂

                  = 4/3 * 2/3 = 8 / 9