In a vernier calliper 19 main scale divisions concide with 20 vernier scale divisions .if the main scale has 20 divisions in a centimetre, calculate L.C. of vernier calliper (ans 0.0025 cm)
In a vernier calliper 19 main scale divisions concide with 20 vernier scale divisions .if the main scale has 20 divisions in a centimetre, calculate L.C. of vernier calliper (ans 0.0025 cm)
Method 1:
Number of divisions in which 1 cm is divided on the main scale = 20
Value of the smallest division on the main scale = 1/20 cm= 0.05 cm
Number of divisions on vernier scale =20
Least Count of the vernier callipers= (value of smallest division on the main scale)/(number of divisions on the vernier scale) = 0.05 cm/20= 0.0025 cm
The least count of the vernier callipers= 0.0025 cm.
Method 2:
Smallest division on the main scale = 0.05 cm
20 vernier divisions = 19 main scale divisions
1 vernier division = 19/20 main scale divisions
Difference between 1main scale division and 1 vernier division= 1 msd - 19/20 msd =1/20 msd= 1/20×0.05cm= 0.0025 cm.
The least count of the vernier callipers = 0.0025cm
Method 1:
Number of divisions in which 1 cm is divided on the main scale = 20
Value of the smallest division on the main scale = 1/20 cm= 0.05 cm
Number of divisions on vernier scale =20
Least Count of the vernier callipers= (value of smallest division on the main scale)/(number of divisions on the vernier scale) = 0.05 cm/20= 0.0025 cm
The least count of the vernier callipers= 0.0025 cm.
Method 2:
Smallest division on the main scale = 0.05 cm
20 vernier divisions = 19 main scale divisions
1 vernier division = 19/20 main scale divisions
Difference between 1main scale division and 1 vernier division= 1 msd - 19/20 msd =1/20 msd= 1/20×0.05cm= 0.0025 cm.
The least count of the vernier callipers = 0.0025cm
