A vernier callipers has 20 divisions on the vernier scale, which coincides with 19^ th division on the main scale. The least count of the instrument is 0.1 mm . One main scale division is equal to _____mm .

Correct answer: B. 2 aligned & 20 VSD=19 MSD & 1 VSD=(19)/(20) MSD & L.C. =1 MSD-1 VSD & 0.1 mm=1 MSD-(19)/(20) MSD & 0.1=(1)/(20) MSD & 1 MSD=2 mm aligned

JEE Main 20245 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 5 April
Shift: Evening Shift
Subject: Physics
Chapter: Experimental Physics

JEE Main 2024 · 5 April · Evening Shift · Physics · Experimental Physics

A vernier callipers has 20 divisions on the vernier scale, which...

A vernier callipers has 20 divisions on the vernier scale, which coincides with

19^{\text{th }}

division on the main scale. The least count of the instrument is

0.1 \mathrm{ mm} . One main scale division is equal to _____\mathrm{mm} .

Options

A $0.5$
B $2$
C $5$
D $1$

Correct answer

B. $2$

Step-by-step solution

\begin{aligned} & 20 \mathrm{VSD}=19 \mathrm{MSD} \\ & 1 \mathrm{VSD}=\frac{19}{20} \mathrm{MSD} \\ & \text{ L.C. }=1 \mathrm{MSD}-1 \mathrm{VSD} \\ & 0.1 \mathrm{ mm}=1 \mathrm{MSD}-\frac{19}{20} \mathrm{MSD} \\ & 0.1=\frac{1}{20} \mathrm{MSD} \\ & 1 \mathrm{MSD}=2 \mathrm{ mm}\end{aligned}

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