Question

If the smallest reading on the main scale of the vernier caliper is 0.1 cm and the number of divisions on the vernier scale are 5, then the least count of the vernier caliper will be:
1. 0.01 cm
2. 0.001 cm
3. 0.02 cm
4. None of these

Answer 1

Correct Answer - Option 3 : 0.02 cm

CONCEPT:

Least count:

• The smallest value that can be measured by the measuring instrument is called its least count.
• The least count can be calculated by dividing the smallest reading on the main scale with the number of divisions on the vernier scale.

⇒ \(Least\,Count=\frac{Smallest\,reading\,on\,main\,scale}{Number\,of\,divisions\,on\,vernier\,scale}\)

CALCULATION:

Given: smallest reading on the main scale = 0.1 cm and number of divisions on the vernier scale = 5

The least count of the vernier caliper is given as,

⇒ \( Least\,Count=\frac{Smallest\,reading\,on\,main\,scale}{Number\,of\,divisions\,on\,vernier\,scale}\)

⇒ \( Least\,Count=\frac{0.1}{5}\)

⇒ Least Count = 0.02 cm

• Hence, option 3 is correct.