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A screw gauge of pitch 0.3 mm. It is used to measuring the diameter of uniform wire length 8 cm, the main scale reading is 2 mm, and also have circular scale reading is 9. Find the curved surface area of the wire, (consider 50 division)

Option: 1

51.47 cm


Option: 2

51.47 mm


Option: 3

52.47 cm


Option: 4

51.49 cm


Answers (1)

best_answer

$$ \begin{aligned} \text { Least count } & =\frac{\text { Pitch }}{\text { Number of division }} \\ & =\frac{0.3}{50}=0.006 \mathrm{~mm} \end{aligned}\\\\ \text {length of wire} =8 \mathrm{~cm}\\\\ \begin{aligned} \text { Diameter of wire }= & 2+8 \times L . C \\\\ = & 2+8 \times 0.006 \\ = & 2.048 \mathrm{~mm} \end{aligned}\\\\ \text {Curved surface area} =\pi D l=17 \times 2.048 \times 8 \times 10\\\\ \begin{aligned} & =514.71 \mathrm{~mm} \\ & =51.47 \mathrm{~cm} . \end{aligned}

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Deependra Verma

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