A screw gauge has a screw having 2 threads in 1 mm. The circular scale has 50 divisions. Find the diameter of wire, if the main scale shows 6th division and the vernier reads 46.

Question

A screw gauge has a screw having 2 threads in 1 mm. The circular scale has 50 divisions. Find the diameter of wire, if the main scale shows 6th division and the vernier reads 46. (A) 6.46 mm (B) 3.46 mm (C) 6.54 mm (D) 3.04 mm

Tardigrade Admin · Accepted Answer

Least count =(Pitch/Number of divisons)=(0.5/50)=0.01 mm Diameter of wire = 6 × 0.5 + 46 × 0.01 = 3.46 mm

Q. A screw gauge has a screw having $2$ threads in $1 mm$ . The circular scale has $50$ divisions. Find the diameter of wire, if the main scale shows $6^{t h}$ division and the vernier reads $46$ .

$6.46 mm$

$3.46 mm$

$6.54 mm$

$3.04 mm$

Least count $= \frac{P i t c h}{N u mb er o f d i v i so n s} = \frac{0.5}{50} = 0.01 mm$
Diameter of wire $= 6 \times 0.5 + 46 \times 0.01 = 3.46 mm$

Q. A screw gauge has a screw having 2 threads in 1mm. The circular scale has 50 divisions. Find the diameter of wire, if the main scale shows 6th division and the vernier reads 46.

6.46mm

3.46mm

6.54mm

3.04mm