A microsocpe is provided with a main scale graduated with 20 divisions in 1 cm and a vernier scale with 50 divisions on it of length same as of 49 divisions of main scale. Find the least count of the microscope.

Explanation

To find the least count of the microscope, we will follow these steps:

### Step 1: Understand the relationship between the main scale and the vernier scale.
The problem states that 50 divisions of the vernier scale are equal to 49 divisions of the main scale.

### Step 2: Calculate the value of one vernier scale division (VSD).
We can express this relationship mathematically:
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