For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has

Question

For the determination of refractive index of glass slab, a travelling microscope is used whose main scale contains 300 equal divisions equals to 15 cm. The vernier scale attached to the microscope has 25 divisions equals to 24 divisions of main scale. The least count (LC) of the travelling microscope is (in cm) :

TestHub · Accepted Answer

​ 300 msd = 15 cm 1 msd = 300 15 ​ cm = 0.05 cm 25 vsd = 24 msd 1 vsd = 25 24 ​ msd LC = 1 msd − 1 vsd ​ ​ LC = 1 msd − 25 24 ​ msd = 25 1 ​ msd LC = 25 1 ​ × 0.05 = 0.002 cm ​ correct option (2)

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