A crystalline solid of a pure substance has a face-centered cubic structure with a cell edge of $$400$$ $$pm.$$ If the density of the substance in the crystal is $$8$$ $$g\,c{m^{ - 3}},$$ then the number of atoms present in $$256$$ $$g$$ of the crystal is $$N \times {10^{24}}.$$ The value of $$N$$ is

The correct statements(s) for the following addition reactions is (are)

The wave function, $${\psi _{n,1,{m_1}}}$$ is a mathematical function whose value depends upon spherical polar coordinates $$\left( {r,\theta ,\phi } \right)$$ of the electron and characterized by the quantum numbers $$n,1$$ and $${m_1}$$. Here $$r$$ is distance from nucleus, $$\theta $$ is colatitude and $$\phi $$ is azimuth. In the mathematical functions given in the table, $$Z$$ is atomic number and $${a_0}$$ is Bohr radius.

For $$H{e^ + }$$ ion, the only INCORRECT combination is

The wave function, $${\psi _{n,1,{m_1}}}$$ is a mathematical function whose value depends upon spherical polar coordinates $$\left( {r,\theta ,\phi } \right)$$ of the electron and characterized by the quantum numbers $$n,1$$ and $${m_1}$$. Here $$r$$ is distance from nucleus, $$\theta $$ is colatitude and $$\phi $$ is azimuth. In the mathematical functions given in the table, $$Z$$ is atomic number and $${a_0}$$ is Bohr radius.

For hydrogen atom, the only CORRECT combination is :