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Match List I with List II.

List I

(Spectral Lines of Hydrogen for transitions from)

List II

(Wavelengths (nm))

A.

n₂ = 3 to n₁ = 2

I.

410.2

B.

n₂ = 4 to n₁ = 2

II.

434.1

C.

n₂ = 5 to n₁ = 2

III.

656.3

D.

n₂ = 6 to n₁ = 2

IV.

486.1

Choose the correct answer from the options given below:

Option 1 -

A-II, B-I, C-IV, D-III

Option 2 -

A-III, B-IV, C-II, D-I

Option 3 -

A-IV, B-III, C-I, D-II

Option 4 -

A-I, B-II, C-III, D-IV

2 Views | Posted a month ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

a month ago

Correct Option - 2

Detailed Solution:

Energy difference $Δ E = \frac{h c}{λ}$

$∴ λ \propto \frac{1}{Δ E}$

${(Δ E)}_{6 - 2} > {(Δ E)}_{5 - 2} > {(Δ E)}_{4 - 2} > {(Δ E)}_{3 - 2}$

$λ_{6 - 2} < λ_{5 - 2} < λ_{4 - 2} < λ_{3 - 2}$

Energy difference <math> <mrow> <mi>Δ</mi> <mi>E</mi> <mo>=</mo> <mfrac> <mrow> <mi>h</mi> <mi>c</mi> </mrow> <mrow> <mi>λ</mi> </mrow> </mfrac> </mrow> </math>   <math> <mrow> <mo>∴</mo> <mi>λ</mi> <mo>∝</mo> <mfrac> <mrow> <mn>1</mn> </mrow> <mrow> <mi>Δ</mi> <mi>E</mi> </mrow> </mfrac> </mrow> </math>   <math> <mrow> <msub> <mrow> <mo stretchy="false"> (</mo> <mi>Δ</mi> <mi>E</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>6</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>></mo> <msub> <mrow> <mo stretchy="false"> (</mo> <mi>Δ</mi> <mi>E</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>5</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>></mo> <msub> <mrow> <mo stretchy="false"> (</mo> <mi>Δ</mi> <mi>E</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>4</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>></mo> <msub> <mrow> <mo stretchy="false"> (</mo> <mi>Δ</mi> <mi>E</mi> <mo stretchy="false">)</mo> </mrow> <mrow> <mn>3</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> </mrow> </math>   <math> <mrow> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mn>6</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo><</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mn>5</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo><</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mn>4</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo><</mo> <msub> <mrow> <mi>λ</mi> </mrow> <mrow> <mn>3</mn> <mo>−</mo> <mn>2</mn> </mrow> </msub> </mrow> </math>

0 Upvotes 0 Downvotes

A.	n₂ = 3 to n₁ = 2	I.	410.2
B.	n₂ = 4 to n₁ = 2	II.	434.1
C.	n₂ = 5 to n₁ = 2	III.	656.3
D.	n₂ = 6 to n₁ = 2	IV.	486.1

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Match List I with List II. List I (Spectral Lines of Hydrogen for transitions from) List II (Wavelengths (nm)) A. n2 = 3 to n1 = 2 I. 410.2 B. n2 = 4 to n1 = 2 II. 434.1 C. n2 = 5 to n1 = 2 III. 656.3 D. n2 = 6 to n1 = 2 IV. 486.1 Choose the correct answer from the options given below: