The wavelength associated with a golf ball weighing $200 \mathrm{g}$ and moving at a speed of $5 \mathrm{m} {\mathrm{h}}^{-1}$ is of the order

If the de-Broglie wavelength of a particle of mass $\mathrm{m}$ is $100$ times its velocity, then its value in terms of its mass $\left(\mathrm{m}\right)$ and Planck's constant $\left(\mathrm{h}\right)$ is

The number of spherical nodes in $3\mathrm{p}$ orbitals are

Which combinations of quantum numbers, $\mathrm{n}, \mathrm{l}, \mathrm{m}$ and $\mathrm{s}$ for the electron in an atom does not provide a permissible solution of the wave equation?

In a multi-electron atom, which of the following orbitals described by the three quantum numbers will have the same energy in the absence of magnetic and electric fields?

(i) $\mathrm{n}=1, \mathrm{l}=0, \mathrm{m}=0$

(ii) $\mathrm{n}=2, \mathrm{l}=0, \mathrm{m}=0$

(iii) $\mathrm{n}=2, \mathrm{l}=1, \mathrm{m}=1$

(iv) $\mathrm{n}=3, \mathrm{l}=2, \mathrm{m}=1$

(v) $\mathrm{n}=3, \mathrm{l}=2, \mathrm{m}=0$