The part of the neuron that conducts inpulses toward the nucleus?

Dendrites.

Explanation:

Neurons or nerve cells are the structural and functional unit of the nervous system. The neurons consists of axons, dendrites, cell body and cell organelle.

Dendrites are the long thread like structures present on the neurons. These dendrites accepts information from the sensory receptor and then transmit the information towards the nucleus. This information transfer is important for the conduction of nerve impulse.

Thus, the correct answer is dendrites.