Answer to Question 1
This is the case. In most cases, a neutron enters the nucleus and bangs about,
setting the nucleus into oscillation like a drop of liquid. Eventually, the nucleus comes apart.
This makes extra neutrons that can go on to break up other nuclei.
Answer to Question 2
The veracity of the answer depends on the student's interpretation of great
distance. A student might cite, for example, conduction from Earth's core to Earth's
surface, which takes place over thousands of kilometers. However, this is not the common
experience; more likely is for the student to think about conduction from soup to fingers
through a metal spoon. In the latter case, we will excuse the student from thinking that
conduction is a short-distance phenomenon. I would grade the student on the reasoning
exhibited rather than the answer.