Question

A microscope has its main scale with 20 divisions in 1 cm and vernier scale with 25 divisions, the length of which is equal to the length of 24 divisions of main scale. The least count of microscope is : (1) 0.002 cm (2) 0.001 cm (3) 0.02 cm (4) 0.01 cm

February 4, 2024

Answer

0.002 cm

Reason —

The value of one main scale division (x) = 1/20 m

The number of divisions on an vernier scale(n) = 25

Using the formula given below,

L.C. = x ÷ n = 1/20 ÷ 25

L.C. = 1/500 cm

$\Rightarrow L.C. = 0.002 cm$

Hence, the least count of the microscope is 0.002 cm.

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