Consider the hydrogen atom. how does the energy difference between adjacent orbit radii change as the principal quantum number increases? consider the hydrogen atom. how does the energy difference between adjacent orbit radii change as the principal quantum number increases?

the energy difference between adjacent orbit radii increases with increasing values of the principal quantum number.
the energy difference between adjacent orbit radii remains constant with increasing values of the principal quantum number.
the energy difference between adjacent orbit radii decreases with increasing values of the principal quantum number.
the energy difference between adjacent orbit radii varies with increasing values of the principal quantum number.

c.Therefore, we can say that the energy difference between adjacent orbit radii decreases with increasing values of the principal quantum number.

Explanation:

For the adjacent orbits or orbits that are one above the other

change in energy is given by

ΔE =

where n= orbital number

so ,

now , if n  value is increased,

value [ 1/(n)^2 - 1/(n+1)^2 ] will go on decreasing  by clear observation as n is in the denominator

Therefore, The energy difference between adjacent orbit radii decreases with increasing values of the principal quantum number.

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xd

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