JEE Advanced 2022 Paper 1 · Physics · Atoms, Nuclei and Dual Nature of Radiation · medium

A hydrogen-like ion is in the excited state given in List-I. Match each with the energy needed to remove its electron completely from that state, in…

Single correct option

A hydrogen-like ion is in the excited state given in List-I. Match each with the energy needed to remove its electron completely from that state, in List-II (take the hydrogen ground-state energy as

-13.6\ \mathrm{eV}

).

List-I: (P)

\mathrm{H}

n=2

; (Q)

\mathrm{He^{+}}

n=3

; (R)

\mathrm{Li^{2+}}

n=2

; (S)

\mathrm{Be^{3+}}

n=3

.

List-II (in eV): (1)

3.40

; (2)

6.04

; (3)

24.18

; (4)

30.60

; (5)

13.60

A. P→1, Q→2, R→4, S→3
B. P→1, Q→2, R→3, S→4
C. P→5, Q→2, R→4, S→3
D. P→1, Q→5, R→4, S→2

Show answer and solution

Answer: (A) P→1, Q→2, R→4, S→3

Ionisation energy from level

n

13.6\,Z^2/n^2

. (P)

13.6/4=3.40

(1). (Q)

13.6\times4/9=6.04

(2). (R)

13.6\times9/4=30.60

(4). (S)

13.6\times16/9=24.18

(3). So P→1, Q→2, R→4, S→3. Entry (5)

13.60

is a distractor for an ion with

Z/n=1

, which none of these has.

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