A student wants to show the transfer of heat energy without matter which investigation design would help best help the student a an investigation of radiation through electromagnetic waves be an investigation of conduction through the movement of particles, do a solid, see an investigation of conduction through collisions between particles in space, D an investigation of radiation through a current in a fluid

The best investigation design that would help the student show the transfer of heat energy without matter is A - an investigation of radiation through electromagnetic waves.

The best investigation design to show the transfer of heat energy without matter would be an investigation of radiation through electromagnetic waves. This is because radiation is the transfer of heat energy in the form of electromagnetic waves, which does not require the presence of matter or particles for the transfer to occur.

To design an investigation that demonstrates the transfer of heat energy without matter, the student should focus on radiation rather than conduction. Radiation is the transfer of heat energy through electromagnetic waves, which do not require a medium (such as particles) to propagate.

Therefore, the best investigation design to help the student would be Option A: An investigation of radiation through electromagnetic waves. This investigation could involve using a heat source, such as a lamp, to radiate heat towards an object. The student can then measure the temperature changes in the object or observe any effects caused by the radiation.

Option B: An investigation of conduction through the movement of particles, involves the transfer of heat through the movement of particles. This would not demonstrate the transfer of heat without matter, as particles are required for conduction.

Option C: An investigation of conduction through collisions between particles in space, also requires the presence of particles in a medium to demonstrate conduction. Without matter in space, this investigation is not feasible.

Option D: An investigation of radiation through a current in a fluid, might be a bit ambiguous. If by "fluid" you mean a conducting fluid like a liquid metal, then this investigation could demonstrate the transfer of heat through convection rather than radiation.

Hence, the student should choose Option A to investigate radiation through electromagnetic waves for the best demonstration of heat transfer without matter.