A travelling microscope has 10 divisions per cm on the main scale while its vernier scale has total 20 divisions and 20 vernier scale divisions are equal to 19 main scale divisions. What is the least count of the travelling microscope?

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0.01cm

0.001cm

0.02cm

0.005cm

answer is D.

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Detailed Solution

M.S.D = 1/10cm
19M.S.D =20 V.S.D
V.S.D = 19/20 M.S.D
L.C = M.S.D-V.S.D
$= \frac{1}{10} - (\frac{19}{20} \times \frac{1}{10}) = 0.1 - 0.095 = 0.005 cm$

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