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What is the uncertainty in the value of \(e/m\)?

1. \(\pm 0.01\times 10^{11}\ \mathrm{C/kg}\)
2. \(\pm 1\times 10^{11}\ \mathrm{C/kg}\)
3. \(\pm 0.01\times 10^{11}\ \mathrm{C/kg}\)
4. \(\pm 0.001\times 10^{11}\ \mathrm{C/kg}\)

Correct answer: \(\pm 0.01\times 10^{11}\ \mathrm{C/kg}\)

Solution

The uncertainty in a measured quantity is determined by the precision with which it is reported or measured. For \(e/m\), the standard experimental uncertainty here is \(\pm 0.01\times 10^{11}\ \mathrm{C/kg}\). The matching option is therefore the one with that value.

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