Question 120: Units , Dimensions and Error Analysis

Question

A travelling microscope has 20 divisions per $$\mathrm{cm}$$ on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

Accepted Answer

1 MSD = $${1 \over {20}}$$ cm
1 VSD = $${{24} \over {25}} 	imes {1 \over {20}}$$ cm
$$	herefore$$ Least count = 1 MSD $$-$$ 1 VSD
$$ = {1 \over {20}}\left( {1 - {{24} \over {25}}} ight)$$ cm
$$ = {1 \over {20}} 	imes {1 \over {25}}$$ cm
$$ = 0.002$$ cm

Answer

0.001 cm

Answer

0.002 mm

Answer

0.002 cm

Answer

0.005 cm

Units , Dimensions and Error Analysis

A travelling microscope has 20 divisions per $\mathrm{cm}$ on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

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