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  • The diameter of a cylinder is measured using vernier callipers with no zero error. It is found that the zero of the vernier scale lies between 5.10 cm and 5.15 cm of the main scale.

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

Option: 1

5.124 cm


Option: 2

6.324 cm 


Option: 3

8.624 cm

 


Option: 4

3.624cm


Answers (1)

best_answer

 The main scale can measure 5.10 and 5.15
Therefore Main scale division(s)=0.05 cm
Also, vernier scale division (v)= \frac{2.45}{50}=\frac{4.9}{100}=0.049 \mathrm{~cm} / \mathrm{div}
Thus, least count =0.05-0.049=0.001 cm

\\ Diameter =5.10+24 \times 0.001 \\ \Rightarrow Diameter =5.124 \mathrm{~cm}

Posted by

vishal kumar

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