In a vernier callipers with no zero error, 7th division of main scale coincides with 10th division of vernier scale when nothing is kept between the calipers (Take 1 MSD = 1mm) When a rod of length , is kept between the calipers, it is found that zero of the vernier lies between the 9th and 10th divisions of main scale and 4th division of the vernier coincides with 12th division of main scale.
1) l= 9.2mm
2) l= 10.2mm
3) Least count = 0.3mm
4) vernier constant = 0.3mm
Answers
Rod Length = 10.2mm
Explanation :-
MSD = Main Scale Division
VSD = Vernier Scale Division
7th division of main scale coincides with 10th division of vernier scale
=> 7 × MSD = 10 × VSD
MSD = 1mm
Least count = MSD - VSD 1mm - 0.7mm = 0.3mm
Vernier lies between the 9th and 10th divisions of main scale
=> More than 9 × MSD = 9 × 1 = 9mm
4th division of the vernier coincides 12th division of main scale
=> 4 × Least count
= 4 × 0.3
= 1.2mm
9 + 1.2 = 10.2mm
Rod length = 10.2mm
........Hence Verified......
Question :-
In a vernier callipers with no zero error, 7th division of main scale coincides with 10th division of vernier scale when nothing is kept between the calipers (Take 1 MSD = 1mm) When a rod of length , is kept between the calipers, it is found that zero of the vernier lies between the 9th and 10th divisions of main scale and 4th division of the vernier coincides with 12th division of main scale.
Required Answer :-
Rod Length = 10.2mm