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If x = (a - b), the maximum percentage error in the measurement of x will be ______.

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Question

If x = (a - b), the maximum percentage error in the measurement of x will be ______.

Options

  • \[\left[\frac{\Delta\mathrm{a}}{\mathrm{a-b}}-\frac{\Delta\mathrm{b}}{\mathrm{a-b}}\right]\times100\]

  • \[\left[\frac{\Delta\mathrm{a}}{\mathrm{a-b}}+\frac{\Delta\mathrm{b}}{\mathrm{a-b}}\right]\times100\]

  • \[\left[\frac{\Delta\mathrm{a}}{\mathrm{a}}+\frac{\Delta\mathrm{b}}{\mathrm{b}}\right]\times100\]

  • \[\left[\frac{\Delta\mathrm{a}}{\mathrm{a}}-\frac{\Delta\mathrm{b}}{\mathrm{b}}\right]\times100\]

MCQ
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Solution

If x = (a - b), the maximum percentage error in the measurement of x will be \[\left[\frac{\Delta\mathrm{a}}{\mathrm{a-b}}+\frac{\Delta\mathrm{b}}{\mathrm{a-b}}\right]\times100\].

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