Question

The vernier scale of a travelling microscope has `50` divisions which coincide with `49` main scale divisions. If each main scale division is `0.5 mm`, the minimum inaccuracy in the measurement of distance is

Answer 1

By question, it is given that `50VSD=49MSD`
`1MSD=(50)/(49)VSD`
`1VSD=(49)/(50)MSD`
Minimum inaccuracy =`1MSD-1VSD`
`=1MSD-(49)/(50)MSD=1/50MSD`
`"Given"," "1MSD=0.5mm`
Hence, minimum inaccuracy =`1/(50)xx0.5mm=1/(100)=0.01mm`