Question

18. What is the rest energy of a neutron? (c = 2.9979 x 10⁹ m/s,

mn = 1.6749 x 10-27)
O 8.18 x 10-14 J
O 2.73 x
2.73 x 10-22 J
O 1.5053 x 10-10 J
O 1.5032 x 10-10 J

Answer 1

The correct option is: 1.5032 x 10⁻¹⁰ J.

The rest energy of a particle can be calculated using Einstein's mass-energy equivalence formula, E = mc², where E is the energy, m is the mass, and c is the speed of light.

In this case, we need to calculate the rest energy of a neutron. The mass of a neutron (mn) is given as 1.6749 x 10⁻²⁷ kg, and the speed of light (c) is 2.9979 x 10⁸ m/s.

Plugging these values into the formula, we get:

E = (1.6749 x 10⁻²⁷ kg) * (2.9979 x 10⁸ m/s)²

Calculating this expression:

E ≈ 1.5032 x 10⁻¹⁰ J

Therefore, the rest energy of a neutron is approximately 1.5032 x 10⁻¹⁰ J.

So, the correct option is: 1.5032 x 10⁻¹⁰ J.