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Atomic Spectra & Multi-Electron Atoms

32 Official GATE PH Questions with Verified Solutions & Answer Keys

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Solved Questions for Atomic Spectra & Multi-Electron Atoms

GATE PH 2007 • Q8 (MCQ) +1 Mark

The $D_1$ and $D_2$ lines of Sodium ($3^2P_{1/2} \rightarrow 3^2S_{1/2}$ and $3^2P_{3/2} \rightarrow 3^2S_{1/2}$) will split on the application of a weak magnetic field into...

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GATE PH 2007 • Q9 (MCQ) +1 Mark

In a He-Ne laser, the laser transition takes place in (A) He only. (B) Ne only. (C) Ne first, then in He. (D) He first, then in Ne....

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GATE PH 2007 • Q46 (MCQ) +2 Mark

In accordance with the selection rules for electric dipole transitions, the 4'P, state of helium can decay by photon emission to the states (A) 2'So, 2'P, and 3'D2 (B) 3'P1, 3'D2 a...

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GATE PH 2007 • Q48 (MCQ) +2 Mark

The hyperfine structure of Na (3?P32) with nuclear spin / = 3/2 has (A) 1 state. (B) 2 states. (C) 3 states. (D) 4 states....

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GATE PH 2007 • Q49 (MCQ) +2 Mark

The allowed rotational energy levels of a rigid hetero-nuclear diatomic molecule are expressed as e, = BJ(J +1), where B is the rotational constant and J is a rotational quantum nu...

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GATE PH 2008 • Q14 (MCQ) +1 Mark

The coherence length of laser light is (A) directly proportional to the length of the active lasing medium. (B) directly proportional to the width of the spectral line. (C) inverse...

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GATE PH 2008 • Q50 (MCQ) +2 Mark

Which one of the following statement is INCORRECT in vibrational spectroscopy with anharmonicity? (A) The selection rule for vibrational spectroscopy is Av = ‡1, + 2,... (B) Anharm...

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GATE PH 2008 • Q52 (MCQ) +2 Mark

When the refractive index j of the active medium changes by Ayu in a laser resonator of length L, the change in the spectral spacing between the longitudinal modes of the laser is ...

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GATE PH 2009 • Q31 (MCQ) +2 Mark

Five energy levels of a system including the ground state are shown below. Their lifetimes and the allowed electric dipole transitions are also marked. 10-7 s 4 2 x 10-8s 3 10-6g 2...

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GATE PH 2009 • Q54 (MCQ) +2 Mark

The expectation value of the particle energy is 1| tỉ 4a2 +1 tỉ (A) 2m 2a3/2 B) 2m a? (C) 2m 4a3/2 (D) 8mа312 Common Data for Questions 55 and 56 : Consider the Zeeman splitting of...

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GATE PH 2009 • Q55 (MCQ) +2 Mark

The Zeeman spectrum is (A) randomly polarized (B) only polarized (C) only o polarized (D) both i and o polarized...

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GATE PH 2009 • Q56 (MCQ) +2 Mark

The fine structure line having the longest wavelength will split into (A) 17 components (B) 10 components (C) 8 components (D) 4 components PH 13/16 2009 PH Linked Answer Questions...

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GATE PH 2010 • Q10 (MCQ) +1 Mark

The thermal conductivity of a given material reduces when it undergoes a transition from its normal state to the superconducting state. The reason is: (A) The Cooper pairs cannot t...

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GATE PH 2010 • Q14 (MCQ) +1 Mark

To detect trace amounts of a gaseous species in a mixture of gases, the preferred probing tool is (A) Ionization spectroscopy with X-rays (B) NMR spectroscopy (C) ESR spectroscopy ...

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GATE PH 2010 • Q47 (MCQ) +2 Mark

The number of distinct spectral lines that are observed in the resuitant Zeeman spectrum is (A) 2 (B) 3 (C) 4 (D) 6 PH 1224 2010...

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GATE PH 2010 • Q48 (MCQ) +2 Mark

The number of distinet spectral lines that are observed in the resultant Zeeman spectrum is (A) 2 (B) 3 (C) 4 (D) 6 PH 1224 2010 PH...

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GATE PH 2012 • Q30 (MCQ) +1 Mark

Match the typical spectroscopic regions specified in Group I with the corresponding type of transitions in Group II. Group I Group II (P) Infra-red region (i) electronic transition...

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GATE PH 2012 • Q32 (MCQ) +1 Mark

The terms   1 2 j , j J arising from 2s13d1 electronic configuration in j-j coupling scheme are (A) 2,1 3,2 1 3 1 5 , and , 2 2 2 2             (B) 1,0 2,1 1 1 1 3 , ...

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GATE PH 2012 • Q55 (MCQ) +2 Mark

The Lagranges equation of motion of the particle is (A) 2 x gax  (B) 2 2 2 2 (1 4 ) 2 4 m a x x mgax ma xx  - - (C) 2 2 2 2 (1 4 ) 2 4 m a x x mgax ma xx    (D) 2 x gax - y...

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GATE PH 2013 • Q25 (NAT) +1 Mark

The number of spectral lines allowed in the spectrum for the 22 transition in sodium is ____________. Q. 26 to Q. 55 carry two marks each....

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GATE PH 2014 • Q13 (MCQ) +1 Mark

The number of normal Zeeman splitting components of 1P → 1D transition is (A) 3 (B) 4 (C) 8 (D) 9...

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GATE PH 2014 • Q55 (NAT) +2 Mark

The intensity of a laser in free space is 150 mW/m2. The corresponding amplitude of t he electric field of the laser is ____________ V/m. (𝜀𝜀0 = 8.854 × 10−12 𝐶𝐶2/𝑁𝑁. 𝑚𝑚2)...

View Step-by-Step Derivation → • Answer Key: 10.58  to 10.70
GATE PH 2015 • Q37 (NAT) +2 Mark

The excitation wavelength of laser in a Raman effect experiment is 546 nm. If the Stokes' line is observed at 552 nm, then the wavenumber of the anti-Stokes' line (in cm") is...

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GATE PH 2015 • Q47 (MCQ) +2 Mark

Match the phrases in Group I and Group II and identify the correct option. Group I Group I (P) Electron spin resonance (ESR) (Q) Nuclear magnetic resonance (NMR) (R) Transition bet...

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GATE PH 2016 • Q16 (MCQ) +1 Mark

In the $\text{SU}(3)$ quark model, the triplet of mesons $(\pi^+, \pi^0, \pi^-)$ has...

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GATE PH 2016 • Q37 (NAT) +2 Mark

The number of spectroscopic terms resulting from the L.S coupling of a 3p electron and a 3d electron is...

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GATE PH 2018 • Q20 (MCQ) +1 Mark

Match the physical effects and order of magnitude of their energy scales given below, where a = Arteohc is fine structure constant; Me and M, are electron and proton mass, respecti...

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GATE PH 2018 • Q27 (MCQ) +1 Mark

Which one of the following is an allowed electric dipole transition? (A) 'So → 3S1 (B) 2P3/2 →2D5/2 (C) =D5/2 →2P1/2 (D) 3Po → SDo...

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GATE PH 2018 • Q44 (MCQ) +2 Mark

The term symbol for the electronic ground state of oxygen atom is (A) 1So (B) 'Dz (C) 3рo (D) 3P2...

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GATE PH 2021 • Q27 (NAT) +1 Mark

The donor concentration in a sample of n-type silicon is increased by a factor of 100. Assuming the sample to be non-degenerate, the shift in the Fermi level (in meV) at 300 K (rou...

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GATE PH 2021 • Q28 (NAT) +1 Mark

Two observers O and O' observe two events P and Q. The observers have a constant relative speed of 0.5c. In the units, where the speed of light, c, is taken as unity, the observer ...

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GATE PH 2023 • Q14 (MCQ) +1 Mark

The atomic number of an atom is 6. What is the spectroscopic notation of its ground state, according to Hund's rules?...

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