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The diameter of a cylinder is measured u...

The diameter of a cylinder is measured using a vernier callipers with no zero error . It is found that the zero of the vernier scale lies between `5.10 and 5.15 cm` of the main scale .the vernier scale has 50 division equivalent to 2.45 cm . The `24 th` division of the vernier scale exactly coincides with one of the main scale divisions . The diameter of the cylinder is

A

5.112 cm

B

5.124 cm

C

5.136 cm

D

5.148 cm

Text Solution

Verified by Experts

The correct Answer is:
B
50 divisions = 2.45 cm
`rArr 1` division `= (2.45)/(50)=0.049 cm`
`rArr` least count `= 1 MSD - 1 VSD = 0.05 - 0.049 = 0.001 cm`
So vernier reading `= 0.001 xx 24 = 0.024 cm`
Therefore diameter of cylinder
`= 5.10 + 0.024 = 5.124 cm`
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