Which of the following theories has no connection with the origin of the earth?

The correct choice is: “Convection current theory of Holmes”

Arthur Holmes proposed (around 1928–30) that heat from radioactivity sets up convection currents in the mantle, and that these currents drag the crust along. His theory explains how continents drift and how the ocean floor forms, which is the basis of plate tectonics. It says nothing about how the Earth itself came into being.

The other three are all theories about how the solar system and the Earth originated. The “Nebular hypothesis of Laplace” (1796) says the planets formed from a cooling, rotating nebula. The “Tidal hypothesis of Jeans and Jeffreys” says a passing star pulled a filament of matter out of the Sun, and that matter condensed into planets. The “Binary star theory of Lyttleton” says the planets formed from the companion star of a binary system around the Sun.