the diameter of a cylinder is measured using a Vernier caliper with no zero error it is found that does zero of vernier scale lies between 5.10 cm and 5.15 of main scale the vernier scale has 50 division equivalent to 2.45 CM the 24th division of vernier scale exactly coincides with one of the main scale division the diameter of cylinder is
Answers
Given:
The diameter of a cylinder is measured using a Vernier caliper with no zero error it is found that does zero of vernier scale lies between 5.10 cm and 5.15 of main scale the vernier scale has 50 division equivalent to 2.45 CM.
To find:
The 24th division of vernier scale exactly coincides with one of the main scale division the diameter of cylinder is
Solution:
From given we have,
The zero of vernier scale lies between 5.10 cm and 5.15 of the main scale
1 MSD = 5.15 - 5.10 = 0.05 cm
The vernier scale has 50 division equivalent to 2.45 cm.
1 VSD = 2.45/50 = 0.049cm
Least count = 1 MSD - 1 VSD
= 0.05 - 0.049
= 0.001 cm
The 24th division of vernier scale exactly coincides with one of the main scale division
Thus, the diameter = 5.10 + (0.001) × 24 = 5.124 cm
Therefore, the diameter of the cylinder is 5.124 cm
Explanation:
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