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Question: A micrometer is made using a bar having 20 threads per cm. On its circular scale it has 100 division...

A micrometer is made using a bar having 20 threads per cm. On its circular scale it has 100 divisions. A student reads 5 divisions after 1 cm mark on linear scale and 37 division of circular scale, coinciding with mainscale for the diameter of a cylinder. Write the diameter.

A

1.2537 cm

B

1.2685 cm

C

1.2537 ± 0.0005 cm

D

1.2685 ± 0.0005 cm

Answer

1.2685 ± 0.0005 cm

Explanation

Solution

d = pitch × (number of divisions on linear scale) + least count (number of circular scale divisions coinciding with linear scale)

= 120\frac { 1 } { 20 } (25) + 120×100\frac { 1 } { 20 \times 100 } × 37 = 1.2685

d = 1.2685 ± 0.0005 cm