In a Screw Gauge, fifth division of the circular scale coincides … - Vidyadip

MCQ

In a Screw Gauge, fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are $50$ divisions on the circular scale, and the main scale moves by $0.5 \,{mm}$ on a complete rotation. For a particular observation the reading on the main scale is $5\, {mm}$ and the $20^{\text {th }}$ division of the circular scale coincides with reference line. Calculate the true reading. (in ${mm}$)

A
$5.00$
B
$5.25$
✓
$5.15$
D
$5.20$

✓

Answer

Correct option: C.

$5.15$

c
Least count $({L} \cdot {C})=\frac{0.5}{50}$

True reading $=5+\frac{0.5}{50} \times 20-\frac{0.5}{50} \times 5$

$=5+\frac{0.5}{50}(15)=5.15\, {mm}$

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