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Calculate the answer up to appropriate numbers of significant digits.

Solution

(a): Calculation of mass of proton to mass of electron ratio

Now in the input numbers, 1.67 has 3 significant digits and 9.1096 has 5. Therefore, according to quotient rule, the result should be confined to 3 sig figs. Therefore, drop the 3 at 1000th place, the result should be 1.83 × 103. (No unit remember).

b: Calculating charge to mass ratio of electron

Now there are 2 significant digits in 1.6 and 5 in 9.1096. So according to rule, the result should be confined to 2 sig figs. Therefore, dropping 5 and adding 1 in the result, we have, 1.8 × 1011 C/kg is the answer.

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