The smallest division on main scale of a vernier caplliers is 1 mm and 10 vernier divisions coincide with 9 main scale divisions. While measuring the length of a line, the zero mark of the vernier scale lies between 10.2 cm and 10.3 cm and the third division of vernier scale coincides with a main scale division. (a) Determine the least count of the callopers. (b) Find the length of the line.
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The least count of vernier callipers is 0.01cm and The length of the line is 10.23cm
- According to the problem
1MSD= 1mm
MSR = 10.2cm
- Here 10VSD = 9MSD
1VSD = (9/10)MSD
=(9/10)×1mm = (9/10)mm
- Least count of vernier callipers L.C =1MSD - 1VSD
=1mm - (9/10)mm
=0.01mm
L.C =0.01cm
- Length of the line = MSR+(VSD×L.C)
=10.2+(3×0.01)
=10.2+(0.03)p
=10.23 cm
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