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When a travelling microscope useful to calculate the refractive index of a glass slab. When 20 division are there in 1 cm on the main scale and 50 vernier scale divisions are equal 48 main scale division, calculate the least count of travelling microscope is

Option: 1

0.002 cm


Option: 2

0.03 cm


Option: 3

0.015 cm


Option: 4

0.01 cm


Answers (1)

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\begin{aligned} & 48 \mathrm{~M} \cdot \mathrm{S. D}=50 \mathrm{V.S.D} \\ & 1\, V \cdot S \cdot D=\frac{48}{50} \\ & L \cdot C=1 M \cdot S \cdot D-1 V \cdot S \cdot D \\ & =\left(1-\frac{48}{50}\right)=\frac{2}{50} \times \frac{1}{20} \mathrm{~cm} \\ & =\frac{1}{500} \mathrm{~cm} \\ & \end{aligned}

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