Question

Diameter of the metal ball measured by vernier caliper is 2.34 cm. if least count of vernier is 0.01 cm, calculate percentage error.

a) 0.427 %

b) 0.247 %

c) 0.742 %

d) 0.724 %

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Answer 1

Answer:

2 x 2 into 4 into 5 into 6 into 7 to 8 and 9 x 2 is equals to 728

Answer 2

The percentage error in the measurement of the diameter of metal ball is 0.427%. option (d) is correct.

Diameter of the metal ball measured by vernier calliper is 2.34 cm.

If the least count of vernier calliper is 0.01 cm, we have to calculate the percentage error.

What is least count ?

It is the smallest value that can be measured by the measuring instrument.

Given,

The measured value of diameter of metal ball, D = 2.34 cm

The least count of vernier calliper = error in the measurement , ΔD = 0.01 cm

We know,

$\text{percentage error}=\frac{\text{error}}{\text{measured value}}\times100\\\\=\frac{0.01}{2.34}\times100\\\\=\frac{1}{2.34}\\\\=0.427\%$

Therefore the percentage error in the measurement of diameter of metal ball is 0.427%.

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