A proton and a neutron are both shot at `100 m//s` towards a`_(6)^(12)C`nucleus. which particle,if either   is more likely to be absorbed by the nucleus ?

Options

A. The Proton
B. The neutron
C. Both particles are about equally likely to be absorbed
D. Neither particle will be absorbed

Answer

To solve the problem of which particle (proton or neutron) is more likely to be absorbed by a \( _{6}^{12}C \) nucleus, we can follow these steps:

### Step 1: Understand the Composition of the Nucleus
The \( _{6}^{12}C \) nucleus consists of 6 protons and 6 neutrons. The protons are positively charged, while neutrons are neutral.

**Hint:** Remember that the charge of the particles affects their interaction with the nucleus.

### Step 2: Analyze the Interaction of Proton with the Nucleus
When a proton approaches the \( _{6}^{12}C \) nucleus, it experiences a repulsive force due to the positive charge of the protons in the nucleus. This repulsion makes it less likely for the proton to be absorbed by the nucleus.

**Hint:** Consider the electromagnetic force between charged particles.

### Step 3: Analyze the Interaction of Neutron with the Nucleus
In contrast, a neutron has no charge and therefore does not experience any electromagnetic repulsion. It can approach the nucleus without any repulsive force acting against it. Neutrons can be absorbed into the nucleus more easily than protons.

**Hint:** Think about how neutral particles interact differently compared to charged particles.

### Step 4: Conclusion
Given that the neutron is neutral and does not experience repulsion from the positively charged protons in the \( _{6}^{12}C \) nucleus, it is more likely to be absorbed by the nucleus compared to the proton.

**Final Answer:** The neutron is more likely to be absorbed by the \( _{6}^{12}C \) nucleus.