If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of travelling microscope is

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Solution

Q.
If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of travelling microscope is [2024]

1 0.1 mm

2 0.1 cm

3 0.01 cm

4 0.01 mm

Ans.
(4)

$50$ $V S D = 49$ $M S D$

$1$ $V S D = \frac{49}{50}$ $M S D$

Vernier constant = L.C.

$L . C . = 1$ $M S D - 1$ $V S D$

$= 1$ $M S D - \frac{49}{50}$ $M S D$

$L . C . = \frac{M S D}{50}$

$1$ $M S D = 0.5$ $mm (g iven)$

So, $L . C . = \frac{0.5 mm}{50} = 0.01 mm$

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