MCQ
With increasing principal quantum number, the energy difference between adjacent  energy levels in $H-$ atom
  • decreases
  • B
    increases
  • C
    remains constant
  • D
    decreases for high value of $z$ and increases for low value of $z$

Answer

Correct option: A.
decreases
a
$\mathrm{E}_{2}-\mathrm{E}_{1}=13.6 \times 1^{2}\left(\frac{1}{1^{2}}-\frac{1}{2^{2}}\right)=13.6 \times \frac{3}{4}$

$\mathrm{E}_{3}-\mathrm{E}_{2}=13.6 \times 1^{2}\left(\frac{1}{2^{2}}-\frac{1}{3^{2}}\right)=13.6 \times \frac{5}{36}$

$\mathrm{E}_{4}-\mathrm{E}_{3}=13.6 \times 1^{2}\left(\frac{1}{3^{2}}-\frac{1}{4^{2}}\right)=13.6 \times \frac{9}{144}$

Energy difference decreases as principal quantum number increases

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The compound $I$ and $II$ are related as

$\mathop {\begin{array}{*{20}{c}}
  {\begin{array}{*{20}{c}}
  {COOH\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {H - C - OH\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} 
\end{array}} \\ 
  {Br - C - H\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {\,\,\,COOC{H_3}} 
\end{array}}\limits_{(I)} $ $\mathop {\begin{array}{*{20}{c}}
  {\begin{array}{*{20}{c}}
  {\,\,\,\,\,\,\,\,COOC{H_3}\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {H - C - Br\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} 
\end{array}} \\ 
  {HO - C - H\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {\,\,\,\,\,\,\,COOH\,\,\,\,\,\,\,\,} 
\end{array}}\limits_{(II)} $

How are the following compounds related ?
Which of the following is suitable to synthesize chlorobenzene?
${H_3}P{O_2}\xrightarrow{\Delta }(X) + P{H_3}$ is
Arrange these esters in decreasing order of case of esterfication with $C{H_3}OH/{H^ \oplus }$ :

$(I)$ $\begin{array}{*{20}{c}}
  {C{H_3} - CH - COOH} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {C{H_3}\,\,\,\,\,\,\,} 
\end{array}$

$(II)$  $\begin{array}{*{20}{c}}
  {C{H_3} - CH - C{H_2} - COOH} \\ 
  {|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {C{H_3}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} 
\end{array}$

$(III)$ $\begin{array}{*{20}{c}}
  \,\,{C{H_3}} \\ 
  {|\,\,\,\,\,\,\,\,} \\ 
  {C{H_3} - C - COOH} \\ 
  {|\,\,\,\,\,\,} \\ 
  \,\,{C{H_3}\,} 
\end{array}$

$(IV)$ $(CH_3-CH_2)_3C-COOH$

For $n = 3$ energy level, the number of possible orbitals (all kinds) are
Which of the statements about "Denaturation" given below are correct ?

$(A)$ Denaturation of proteins causes loss of secondary and tertiary structures of the protein

$(B)$ Denturation leads to the conversion of double strand of $DNA$ into single strand

$(C)$ Denaturation affects primary structure which gets distorted

The $d-$electron configurations of $Cr^{2+}, Mn^{2+}, Fe^{2+}$ and $Co^{2+}$ are $d^4, d^5, d^6$ and $d^7$ respectively. Which one of the following will exhibit minimum paramagnetic behaviour ?

(At. nos. $Cr = 24, Mn = 25, Fe = 26, Co = 27$)

If $B$ is major product then identify $B$
Substance $A_2B(g)$ can undergoes decomposition to form two set of products If the molar ratio of $A_2(g)$ to $A(g)$ is $5 : 3$ in a set of product gases, then the energy involved in the decomposition of $1\, mole$ of $A_2B(g)$ is

${A_2}B(g) \to {A_2}(g) + B(g);\,\,\,\Delta {H^o} = 40\,kJ/mol$

${A_2}B(g) \to A(g) + AB(g);\,\,\,\Delta {H^o} = 50\,kJ/mol$

.....$ kJ/mol$