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.

Answer 1

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PERCENTAGE ERROR = FRACTIONAL ERROR × 100

FRACTIONAL ERROR = ABSOLUTE VALUE ÷ MEASURED VALUE

FRACTIONAL ERROR = 0.01 ÷ 2.34 = 0.00427

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NOW

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PERCENTAGE UNCERTANITY = FRACTIONAL ERROR × 100

PERCENTAGE UNCERTANITY = 0.00427 ×100

PERCENTAGE UNCERTANITY = 0.427 %

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Answer 2

Given:-

• Diameter of the metal ball measured by vernier caliper is 2.34 cm.
• If least count of vernier is 0.01 cm.

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To find:-

• Percentage error.

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Solution:-

→ Percentage error = Fractional error × 100

→ Fractional error = Absolute value ÷ Measured values

→ Fractional error = 0.01 ÷ 2.34

→ Fractional error = 0.00427

Now,

→ Percentage Uncertainty = Fractional error × 100

→ Percentage Uncertainty = 0.00427 × 100

→ Percentage Uncertainty = 0.427%

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Hence,

• the percentage error is 0.427%.