Answer:
the energy difference between adjacent levels decreases as the quantum number increases
Explanation:
The energy levels of the hydrogen atom are given by the following formula:

where
is a constant
n is the level number
We can write therefore the energy difference between adjacent levels as

We see that this difference decreases as the level number (n) increases. For example, the difference between the levels n=1 and n=2 is

While the difference between the levels n=2 and n=3 is

And so on.
So, the energy difference between adjacent levels decreases as the quantum number increases.
Gold’s molar mass is about 196 while aluminum is about 27, thus 50cm of gold has more mass
T = 2*pi*Sqrt (L/g)
T = Period = Time to complete one oscillation, L = Length of the pendulum, g = gravitational acceleration.
Then,
L = {T/(2*pi)}^2*g = {7/(2*pi)}^2*3.711 = 4.606 m