Statement 1 is correct because radioactivity is a phenomenon that originates from the unstable nucleus of an atom, leading to the emission of particles and energy. It is governed by the forces within the nucleus, making it a nuclear property. Statement 2 is incorrect. A hydrogen bomb (thermonuclear weapon) is based on the principle of nuclear fusion, where light atomic nuclei (like isotopes of hydrogen) combine to form a heavier nucleus, releasing a tremendous amount of energy. Nuclear fission involves the splitting of a heavy atomic nucleus.