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Calculate the mass of a proton using the charge-to-mass ratio given for it in this chapter and its known charge.

a) 1.67 × 10^(-27) kg
b) 1.67 × 10^(-27) kg
c) 1.67 × 10^(-27) kg
d) 1.67 × 10^(-27) kg

1 Answer

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Final answer:

The mass of a proton is typically found using the charge-to-mass ratio and the known charge of the proton, with the standard value of a proton's mass being 1.67 x 10-27 kg.

Step-by-step explanation:

To calculate the mass of a proton using the charge-to-mass ratio and its known charge, you would rearrange the formula for charge-to-mass ratio (e/m) to solve for mass (m). The standard charge of a proton is approximately 1.602 x 10-19 coulombs.

If the charge-to-mass ratio is given, you would use the formula m = e / (e/m) to find the proton's mass. Since you have not specified the value for the charge-to-mass ratio in this situation, we typically use the accepted value for the mass of a proton which is 1.67 x 10-27 kg.

When comparing your calculated result to the proton mass given in the chapter, we would expect them to be consistent, provided the known charge and the charge-to-mass ratio used are correct. Physics textbooks often list the accepted value of the proton’s mass as 1.67 x 10-27 kg, reflecting the most precise measurements available to date.

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