For a hydrogenic quantum system, the probability of finding the electron $D_{n, l}(r) d r$ in a spherical shell of radius $r$ (with nucleus at its center) and thickness $d r$, is plotted against $r$ (in units of $a_0$ ) for three sets of values of $n$ and $l$ (plots I, II, and III). The principal quantum number ( $n$ ), azimuthal quantum number $(l)$ and area under the curve $(A)$ corresponding to the three plots are denoted by subscripts I, II and III respectively. (The plots are not drawn to scale.)



The correct statement(s) is(are):

• Correct answer
  A

  $l_{\text {I }} \gt l_{\text {II }} \gt l_{\text {III }}$
• Correct answer
  B

  Energy of the system corresponding to each plot depends on the respective $l$ value.
• Correct answer
  C

  $A_{\mathrm{I}}=A_{\mathrm{II}}=A_{\mathrm{III}}$
• Correct answer
  D

  $l_{\mathrm{I}}+l_{\text {II }}+l_{\text {III }} \geq 3$

Hence, the correct answer is options: 'A', 'B', 'C', 'D'.