Question

The mass of a body is measured as 10.1 kg.If the possible % error is ± x % .Find the value of x %

Answer 1

Answer:

1 %

Explanation:

10+ 10×1/100 =10.1

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Answer 2

Given: Mass of body= 10.1 kg

           Let the possible % error be ± x %.

To Find: Value of x%.

Solution:

Let the actual mass of the body be 10 kg.

Mass of the body with error in measurement= 10.1 kg

∴ Error= Mass with error- Actual mass

       = (10.1 - 10) kg

       = 0.1 kg

∴ Percentage error (x%)= $\frac{Error}{Actual Mass} \times 100%$ %

                            = $\frac{0.1}{10} \times 100$ %

                            = 1%

Answer: The value of x% is 1%.

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