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  • A travelling microscope has 20 division per cmon the main scale, while vernier scale have division is 100 and 35 vernier scale division have same as 25 main scale division. Find the least count of

A travelling microscope has 20 division per cmon the main scale, while vernier scale have division is 100 and 35 vernier scale division have same as 25 main scale division. Find the least count of travelling microscope

Option: 1

0.014 cm


Option: 2

0.013 cm


Option: 3

0.015 cm


Option: 4

0.011 cm


Answers (1)

best_answer

\begin{aligned} & \, 1 M \cdot S \cdot D =\frac{1}{20} \mathrm{~cm} \text {. } \\ & 1\, V \cdot S \cdot D=\frac{25}{35} \, \mathrm{MSD} \\ & =\frac{25}{35} \times \frac{1}{20} \mathrm{~cm} \\ & \text { Least count }=1 \mathrm{~M} \cdot \mathrm{S} \cdot \mathrm{D}-1 \text { V.S.D } \\ & =\left(\frac{1}{20}-\frac{25}{35} \times \frac{1}{20}\right){c m} \\ & =\frac{2}{20} \cdot\left[\frac{35-25}{35}\right] \\ & =0.014 \mathrm{~cm} \\ & \end{aligned}

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