First slide

Measurement

Question

Each division on the main scale is $1 mm$ . Which of the following vernier scales give vernier constant equal to $0.01 mm$ ?

Moderate

A

$9 mm$ divided into 10 divisions
B

$90 mm$ divided into 100 divisions
C

$99 mm$ divided into 100 divisions
D

$9 mm$ divided into 100 divisions

Solution

$100 VCD = 99 MSD$
$1 VSD = \frac{99}{100} MSD$
$L C = 1 M S D - 1 V S D$
$LC = 1 MSD - \frac{99}{100} MSD$
$LC = 0.01 MSD$
$L C = 0.01 (1 mm) = 0.01 mm$

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