A Vernier has main and Vernier scales made of materials with expansion coefficients α₁ and α₂. Initially 10 VSD=9 MSD. The rod edge crosses the Nth MSD and (N+2) MSD coincides with 2nd VSD. On heating by ΔT the reading is unchanged. If α₁/α₂=(x+0.8)/(N+2), find x. Ignore rod expansion.
Physics · Unit dimension and error
A Vernier has main and Vernier scales made of materials with expansion coefficients α₁ and α₂. Initially 10 VSD=9 MSD. The rod edge crosses the Nth MSD and (N+2) MSD coincides with 2nd VSD. On heating by ΔT the reading is unchanged. If α₁/α₂=(x+0.8)/(N+2), find x. Ignore rod expansion.