Question

The mass of an electron is approximately 9 × 10-28 grams, while the mass of a neutron is approximately 2 × 10-24 grams. Which of the following is true?

The mass of a neutron is approximately 2,000 times the mass of an electron.

The mass of a neutron is approximately 10,000 times the mass of an electron.

The mass of a neutron is approximately 20,000 times the mass of an electron.

The mass of a neutron is approximately 1,000 times the mass of an electron.

Answer 1

The mass of a neutron is approximately 2,000 times the mass of an electron

Explanation:

= 2 × 10⁻²⁴ / (9 × 10⁻²⁸)

= (2/9) × 10⁻²⁴ ⁻ ⁻²⁸

= (2/9) × 10⁻²⁴ ⁺ ²⁸

≈ 0.2222... × 10²⁸ ⁻ ²⁴

≈ 0.2222 × 10⁴

≈ 2222

This is approximately 2000 times.

Answer 2

We simply divide the Mass of Neutron by Mass of electron


= 2 × 10⁻²⁴ / (9 × 10⁻²⁸)

= (2/9) × 10⁻²⁴ ⁻ ⁻²⁸

= (2/9) × 10⁻²⁴ ⁺ ²⁸

≈ 0.2222... × 10²⁸ ⁻ ²⁴

≈ 0.2222 × 10⁴

≈ 2222

This is approximately 2000 times.

So:

The mass of a neutron is approximately 2,000 times the mass of an electron

The first option. I hope this explains it.