Identify the pair of species having same energy from the following. (The number given in the bracket corresponds to principal quantum number ( $n$ ) in which the electron is present.)

Which one of the following corresponds to the wavelength of line spectrum of H atom in its Balmer series ? ( $R=$ Rydberg constant)

A 100 W bulb emits light of wavelength

$x \mathop {\rm{A}}\limits^{\rm{o}} $. What is the value of $x$, if the number of photons emitted is $2.0 \times 10^{20} \mathrm{~s}^{-1}$ ?

$$ \left(h=6.63 \times 10^{-34} \mathrm{Js}, 1 \mathrm{~W}=1 \mathrm{Js}^{-1}\right) $$

The ratio of the difference in energy between the first and second Bohr orbits to that between the second and third orbit is