The average diameter of an atom’s nucleus is about 1 x 10^-14 meter. The diameter of a proton is about 1 x 10^-15 meter.

The diameter of a proton times 10 raised to what power is equivalent to the diameter of a nuclear?

1 answer

To find the power to which 10 should be raised to make the diameter of a proton equivalent to the diameter of a nucleus, we can set up the relationship using the given diameters.

  1. Diameter of a Proton: \( 1 \times 10^{-15} \) meters
  2. Diameter of a Nucleus: \( 1 \times 10^{-14} \) meters

To find the power of 10, we can divide the diameter of a nucleus by the diameter of a proton:

\[ \frac{1 \times 10^{-14}}{1 \times 10^{-15}} = 10^{(-14) - (-15)} = 10^{1} \]

Thus, the diameter of a proton multiplied by \( 10^{1} \) gives us the diameter of a nucleus.

Therefore, the answer is:

1 (the diameter of a proton times \( 10^1 \) equals the diameter of a nucleus).