Which of the following electronic transitions in a hydrogen atom will require the largest amount of energy?

Q. Which of the following electron transition in hydrogen atom will require the largest amount of energy?

Q. $\underset{n\to \infty }{lim}\frac{5^{n+1}+3^n-2^{2n}}{5^n+2^n+3^{2n+3}},n\in N$ is equal to

Q. According to the Bhor Theory , which of the following transitions in the hydrogen atom will give rise to the least energetic photon ?

Q. Out of the following outer electronic configurations of atoms, the highest oxidation state is achieved by which one?

Q. Consider the following two electronic transition possibilities in a hydrogen atom as pictured below:
(a) The electron drops from third Bohr orbit to second Bohr orbit followed with the next transition from second to first Bohr orbit.
(b) The electron drops from third Bohr orbit to first Bohr orbit directly. Show that the sum of energies for the transitions $n=3$ to $n=2$ and $n=2$ to $n=1$ is equal to the energy of transition for $n=3$ to $n=1$.