Final answer:
The hypothesis that influences the work of scientists in developing the current model of atoms is the speed of light.
Step-by-step explanation:
The hypothesis that influences the work of scientists in developing the current model of atoms is option number 4) The speed of light.
Scientists developed the quantum-mechanical model of the atom, which includes the principles of quantum theory. One key aspect of quantum theory is that particles, including electrons in atoms, can exhibit wave-like properties. This led to the development of wave-particle duality, where particles have both particle and wave characteristics.
Some of the scientists who contributed to this work include Schrodinger, Heisenberg, Born, and others.