Question
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?
The diameter of a proton times 10 raised to what power is equivalent to the diameter of a nuclear?
Answers
GPT-4o mini
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).
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).