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  • A Vernier calliper with a least count of 0.02 mm is used to measure the diameter of a small spherical cylindrical body. The main scale reading is 7.3 cm and the Vernier scale reading is 0

A Vernier calliper with a least count of 0.02 mm is used to measure the diameter of a small spherical cylindrical body. The main scale reading is 7.3 cm and the Vernier scale reading is 0.18 cm. What is the diameter of the body in millimetres?

Option: 1

7.23 mm


Option: 2

7.35 mm


Option: 3

7.47 mm

 


Option: 4

 0.44 mm


Answers (1)

best_answer

The total reading of the Vernier calliper is given by the sum of the main scale reading and the Vernier scale reading multiplied by the least count:

\text{Total reading} = 7.3 \text{ cm} + 0.18 \text{ cm} \times 0.02 \text{ mm/cm} = 7.344 \text{ cm}

The diameter of the body is half of the length measured by the calliper, which is given by the difference between the two jaws of the calliper:

\\\text{Diameter} = \text{Total reading} - \text{Main scale reading} = 7.344 \text{ cm} - 7.3 \text{ cm} = 0.044 \text{ cm} = 0.44 \text{ mm}

Therefore, the correct answer is (D) 

Posted by

Pankaj

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