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):
Text Solution
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Determine one main scale division (msd):
Therefore,
Determine one vernier scale division (vsd):
Therefore,
Calculate the least count (LC):
The least count is given by the difference between one main scale division and one vernier scale division:
Substitute the expression for 1 vsd:
This simplifies to:
Calculate the LC in cm:
Substituting the value of 1 msd :
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