In a vernier calliper, when both jaws touch each other, zero of the… | JEE Main 2024 (6 Apr, Shift 2)

Q20JEE Main 2024 · 6 APR · SHIFT 2Medium

Least Count, Vernier Callipers & Screw Gauge

In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its $4$ th division coincides exactly with a certain division on main scale. If 50 vernier scale divisions equal to 49 main scale divisions and zero error in the instrument is $0.04\text{ mm}$ then how many main scale divisions are there in $1\text{ cm}$ ?

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Answer: (d)

$50\text{ VSD} = 49\text{ MSD} \Rightarrow$ LC $= \dfrac{1\text{ MSD}}{50}$
Zero error magnitude $= 4\times\text{LC} = 0.04$ mm $\Rightarrow$ LC $= 0.01$ mm
1 MSD $= 50\times 0.01 = 0.5$ mm
Divisions in 1 cm $= \dfrac{10}{0.5} = 20$ , answer (d).

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