Physics - Error Question with Solution | TestHub

No of divisions on main scale $=N$ No of divisions on vernier scale $=N+1$ size of main scale division $=a$ Let size of vernier scale division be $b$ then we have $$aN=b(N+1)\Rightarrow \mathrm{b}=\frac{aN}{N+1}$$ Least count is $\mathrm{a}-\mathrm{b}=\mathrm{a}-\frac{aN}{N+1}$ $=a\left[\frac{N+1-N}{N+1}\right]=\frac{a}{N+1}$