As the value of n increases, the distance between the energy levels in an atom also increases. The correct answer is option B.
As the value of n (number of the orbit) increases, the difference of energy between two consecutive energy levels changes.
The correct answer is B. Increases.
In an atom, electrons occupy different energy levels or orbitals. These energy levels are represented by the principal quantum number (n). As the value of n increases, the electron moves to a higher energy level farther from the nucleus.
The energy of an electron in an energy level is given by the formula E = -13.6/n² electron volts (eV), where n is the principal quantum number.
Let's consider two consecutive energy levels, n₁ and n₂, where n₂ is greater than n₁.
The energy difference between these two levels is given by ΔE = E₂ - E₁. Substituting the formulas for E, we get ΔE = (-13.6/n₂²) - (-13.6/n₁²).
Since n₂ is greater than n₁, n₂² is also greater than n₁².
As a result, the difference in energy (ΔE) between the two energy levels increases as the value of n (number of the orbit) increases.
Therefore, as n increases, the difference of energy between two consecutive energy levels increases.
The Probable question may be
As the value of n (number of the orbit) increases, the difference of energy between two consecutive energy levels,
A. Remains the same
B. Increases
C. Decreases
D. Sometimes increases and sometime decreases