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Q.

The main scale of vernier calipers reads in millimeter and its one division is equal to one millimeter. Its vernier is divided into 10 divisions, which coincide with 7 divisions of main scale. Further more when a cylinder is tightly, placed along its length between two jaws, it is observed that the zero vernier scale lies just right to 37^th division of main scale and seventh division of vernier scale coincide with the main scale. Then the measured value is

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a

3.91 cm

b

3.71 cm

c

3.77 cm

d

3.67 cm

answer is C.

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Detailed Solution

10 V = 7 S

V = 0.7 S . Therefore least count = 1(1 - 0.7) mm = 0.3 mm

So, measured value

=37 +7 $\times 0.3 m m =$ 3.91 cm

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The main scale of vernier calipers reads in millimeter and its one division is equal to one millimeter. Its vernier is divided into 10 divisions, which coincide with 7 divisions of main scale. Further more when a cylinder is tightly, placed along its length between two jaws, it is observed that the zero vernier scale lies just right to 37th division of main scale and seventh division of vernier scale coincide with the main scale. Then the measured value is