JEE Chemistry Structure Of Atom MCQs Set 10

Chemistry Objective Questions and Answers: Structure Of Atom

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Multiple Choice Questions

Question 1: The number of orbitals in the third shell is
(a) 3
(b) 9
(c) 5
(d) 18
Show Answer & Explanation

Answer: (b) 9

Explanation:
1. Orbitals in a shell \(= n^2 = 9\) (one 3s, three 3p, five 3d).
2. Only option (b) agrees with this working.

Teacher's Note:
1. For electrons in an atom, check the allowed ranges: l from 0 to n - 1, m from -l to +l and s = +1/2 or -1/2. For ions remove electrons from the outermost shell (4s) before 3d. Magnetic moment = sqrt(n(n+2)) B.M.

Question 2: The magnetic moment of a divalent ion of the element with Z = 24 in aqueous solution is
(a) 4.9 B.M.
(b) 2.45 B.M.
(c) 2.83 B.M.
(d) 1.73 B.M.
Show Answer & Explanation

Answer: (a) 4.9 B.M.

Explanation:
1. Cr\(^{2+}\) is \(3d^4\) with 4 unpaired electrons, so \(\sqrt{4\times6} = 4.9\) B.M.
2. Only option (a) agrees with this working.

Teacher's Note:
1. For electrons in an atom, check the allowed ranges: l from 0 to n - 1, m from -l to +l and s = +1/2 or -1/2. For ions remove electrons from the outermost shell (4s) before 3d. Magnetic moment = sqrt(n(n+2)) B.M.

Question 3: Which pair of species is isoelectronic?
(a) Mn\(^{3+}\) and Fe\(^{2+}\)
(b) Cr\(^{3+}\) and Mn\(^{2+}\)
(c) Fe\(^{2+}\) and Co\(^{2+}\)
(d) Mn\(^{2+}\) and Fe\(^{3+}\)
Show Answer & Explanation

Answer: (d) Mn\(^{2+}\) and Fe\(^{3+}\)

Explanation:
1. Mn\(^{2+}\) has 23 electrons and Fe\(^{3+}\) has 23
2. The others differ: Mn\(^{3+}\) 22 and Fe\(^{2+}\) 24; Cr\(^{3+}\) 21 and Mn\(^{2+}\) 23; Fe\(^{2+}\) 24 and Co\(^{2+}\) 25.

Teacher's Note:
1. For electrons in an atom, check the allowed ranges: l from 0 to n - 1, m from -l to +l and s = +1/2 or -1/2. For ions remove electrons from the outermost shell (4s) before 3d. Magnetic moment = sqrt(n(n+2)) B.M.

Question 4: The spin multiplicity of Ni\(^{2+}\), which has 2 unpaired electrons, is
(a) 3
(b) 1
(c) 2
(d) 4
Show Answer & Explanation

Answer: (a) 3

Explanation:
1. Multiplicity \(= 2S+1 = 2(1)+1 = 3\) for two unpaired electrons (S = 1).
2. Only option (a) agrees with this working.

Teacher's Note:
1. For electrons in an atom, check the allowed ranges: l from 0 to n - 1, m from -l to +l and s = +1/2 or -1/2. For ions remove electrons from the outermost shell (4s) before 3d. Magnetic moment = sqrt(n(n+2)) B.M.

Question 5: The unpaired electrons in a scandium atom number
(a) 2
(b) 0
(c) 3
(d) 1
Show Answer & Explanation

Answer: (d) 1

Explanation:
1. Sc is \([Ar]3d^14s^2\), so there is 1 unpaired electron.
2. Only option (d) agrees with this working.

Teacher's Note:
1. For electrons in an atom, check the allowed ranges: l from 0 to n - 1, m from -l to +l and s = +1/2 or -1/2. For ions remove electrons from the outermost shell (4s) before 3d. Magnetic moment = sqrt(n(n+2)) B.M.

Question 6: \(^{60}_{27}\)Co is radioactive because
(a) it has a high proton to neutron ratio
(b) its atomic number is high
(c) it has a high neutron to proton ratio
(d) its mass number is odd
Show Answer & Explanation

Answer: (c) it has a high neutron to proton ratio

Explanation:
1. n/p = 33/27 = 1.22, which is too high for Z = 27 (stable nuclei in this region have about 1.1 to 1.2 or lower), so it decays by beta emission.
2. Only option (c) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 7: For alpha, beta and gamma radiation of the same energy, the correct order of increasing penetrating power is
(a) \(\alpha < \beta < \gamma\)
(b) \(\gamma < \beta < \alpha\)
(c) \(\beta < \alpha < \gamma\)
(d) \(\alpha < \gamma < \beta\)
Show Answer & Explanation

Answer: (a) \(\alpha < \beta < \gamma\)

Explanation:
1. The heavy, doubly charged alpha particle is stopped by paper; beta particles go through thin metal; gamma rays are the most penetrating.
2. Only option (a) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 8: Which nuclear emission gives an isotope of the parent element?
(a) alpha emission
(b) beta emission
(c) positron emission
(d) neutron emission
Show Answer & Explanation

Answer: (d) neutron emission

Explanation:
1. An isotope has the same Z. Only neutron emission leaves Z unchanged (and lowers A by 1); alpha, beta and positron emission change Z.
2. Only option (d) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 9: The number of alpha and beta particles lost when \(^{238}_{92}\)U changes to \(^{206}_{82}\)Pb is
(a) 6 alpha and 6 beta
(b) 6 alpha and 8 beta
(c) 8 alpha and 6 beta
(d) 4 alpha and 4 beta
Show Answer & Explanation

Answer: (c) 8 alpha and 6 beta

Explanation:
1. \(238-206 = 32\) gives 8 alpha particles; Z falls by 16 to 76, and 6 beta particles raise it to 82.
2. Only option (c) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 10: The number of alpha and beta particles emitted when \(^{234}_{90}\)Th disintegrates to \(^{206}_{82}\)Pb is
(a) 7 alpha and 8 beta
(b) 8 alpha and 6 beta
(c) 6 alpha and 4 beta
(d) 7 alpha and 6 beta
Show Answer & Explanation

Answer: (d) 7 alpha and 6 beta

Explanation:
1. \(234-206 = 28\) gives 7 alpha particles; Z falls by 14 to 76, and 6 beta particles raise it to 82.
2. Only option (d) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 11: Isotones of \(^{76}_{32}\)Ge include
(a) \(^{77}_{32}\)Ge
(b) \(^{77}_{34}\)Se
(c) \(^{77}_{33}\)As
(d) \(^{79}_{34}\)Se
Show Answer & Explanation

Answer: (c) \(^{77}_{33}\)As

Explanation:
1. \(^{76}_{32}Ge\) has 44 neutrons
2. As-77 has \(77-33 = 44\); Ge-77 has 45; Se-77 has 43; Se-79 has 45.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 12: Of alpha rays, beta rays, gamma rays and anode rays, the uncharged radiation is
(a) alpha rays
(b) gamma rays
(c) beta rays
(d) anode rays
Show Answer & Explanation

Answer: (b) gamma rays

Explanation:
1. Alpha rays are He\(^{2+}\) nuclei, beta rays are electrons, anode rays are positive ions; gamma rays are electromagnetic waves with no charge.
2. Only option (b) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 13: Which of the following nuclear changes does NOT occur?
(a) \(^{113}_{48}Cd + n \to {}^{112}_{48}Cd + {}^{0}_{1}e\)
(b) \(^{24}_{12}Mg + {}^4_2He \to {}^{28}_{14}Si + n\)
(c) \(^{40}_{20}Ca + n \to {}^{40}_{19}K + {}^1_1H\)
(d) \(^{43}_{20}Ca + {}^4_2He \to {}^{46}_{21}Sc + {}^1_1H\)
Show Answer & Explanation

Answer: (a) \(^{113}_{48}Cd + n \to {}^{112}_{48}Cd + {}^{0}_{1}e\)

Explanation:
1. Check mass number and charge
2. First: \(113+1 = 114 \ne 112\), so it cannot occur
3. Others: \(24+4 = 28\), \(12+2 = 14\); \(40+1 = 40+1\) with \(20 = 19+1\); \(43+4 = 46+1\) with \(20+2 = 21+1\).

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 14: The element X formed in \(^{53}_{24}\)Cr + \(^{4}_{2}\)He \(\to\) X + \(^1_0\)n is
(a) \(^{55}_{25}\)Mn
(b) \(^{56}_{25}\)Mn
(c) \(^{56}_{26}\)Fe
(d) \(^{55}_{26}\)Fe
Show Answer & Explanation

Answer: (c) \(^{56}_{26}\)Fe

Explanation:
1. Mass: \(53+4-1 = 56\)
2. Charge: \(24+2 = 26\) (iron)
3. X is \(^{56}_{26}Fe\).

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 15: \(^{37}_{18}\)Ar captures a K-electron into its nucleus. The product is
(a) \(^{38}_{18}\)Ar
(b) \(^{37}_{17}\)Cl
(c) \(^{36}_{18}\)Ar
(d) \(^{38}_{17}\)Cl
Show Answer & Explanation

Answer: (b) \(^{37}_{17}\)Cl

Explanation:
1. K-capture: \(p + e^- \to n\), so Z falls by 1 and A is unchanged: \(^{37}_{17}Cl\).
2. Only option (b) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 16: Which of the following does NOT lead to the formation of isobars?
(a) emission of 1 alpha and 2 beta particles
(b) positron emission
(c) beta emission
(d) K-electron capture
Show Answer & Explanation

Answer: (a) emission of 1 alpha and 2 beta particles

Explanation:
1. Positron emission, beta emission and K capture change Z but not A, so they produce isobars
2. One alpha plus two beta changes A by 4 and leaves Z unchanged (an isotope).

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 17: The radiation which is NOT deflected in an electric field is
(a) beta rays
(b) gamma rays
(c) alpha rays
(d) anode rays
Show Answer & Explanation

Answer: (b) gamma rays

Explanation:
1. Gamma rays are electromagnetic radiation with no charge, so they pass straight through an electric field.
2. Only option (b) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 18: The decay of \(^{13}_7\)N gives
(a) \(^{13}_6\)C + positron
(b) \(^{13}_8\)O + beta particle
(c) \(^{9}_5\)Be + alpha particle
(d) \(^{13}_{8}\)O + positron
Show Answer & Explanation

Answer: (a) \(^{13}_6\)C + positron

Explanation:
1. \(^{13}_7N\) has n/p = 6/7, below 1, so it emits a positron and goes to \(^{13}_6C\).
2. Only option (a) agrees with this working.

Teacher's Note:
1. Balance mass number and atomic number on both sides of a nuclear equation. High n/p gives beta decay, low n/p gives positron emission or K-capture, and heavy nuclei emit alpha particles.

Question 19: If the binding energy of the 2nd excited state of a hydrogen-like sample is 24 eV, its ionisation energy is
(a) 54.4 eV
(b) 24 eV
(c) 122.4 eV
(d) 216 eV
Show Answer & Explanation

Answer: (d) 216 eV

Explanation:
1. The 2nd excited state is n = 3
2. \(13.6Z^2/9 = 24\), so \(13.6Z^2 = 216\) eV, which is the ionisation energy.

Teacher's Note:
1. Use the scaling laws for hydrogen-like species first and substitute numbers last; this avoids long arithmetic and exposes the intended ratio.

Question 20: The ionisation energy of H is \(21.79\times10^{-19}\) J. The binding energy of the second excited state of Li\(^{2+}\) is
(a) \(9\times21.79\times10^{-19}\) J
(b) \(21.79\times10^{-19}\) J
(c) \(\tfrac13\times21.79\times10^{-19}\) J
(d) \(\tfrac19\times21.79\times10^{-19}\) J
Show Answer & Explanation

Answer: (b) \(21.79\times10^{-19}\) J

Explanation:
1. For Li\(^{2+}\) (Z = 3), n = 3: \(E\propto Z^2/n^2 = 9/9 = 1\), so it equals that of the H ground state.
2. Only option (b) agrees with this working.

Teacher's Note:
1. Use the scaling laws for hydrogen-like species first and substitute numbers last; this avoids long arithmetic and exposes the intended ratio.

Question 21: The maximum number of emission lines of atomic hydrogen visible to the naked eye when electrons fall among levels n = 2 to n = 6 is
(a) 4
(b) 6
(c) 5
(d) 15
Show Answer & Explanation

Answer: (a) 4

Explanation:
1. Only the Balmer series (ending at n = 2) is visible: 6-2, 5-2, 4-2 and 3-2 give 4 lines.
2. Only option (a) agrees with this working.

Teacher's Note:
1. Use the scaling laws for hydrogen-like species first and substitute numbers last; this avoids long arithmetic and exposes the intended ratio.

Question 22: What is the total spin of Fe\(^{3+}\) (Z = 26)?
(a) \(\pm1\)
(b) \(\pm2\)
(c) \(\pm3\)
(d) \(\pm5/2\)
Show Answer & Explanation

Answer: (d) \(\pm5/2\)

Explanation:
1. Fe\(^{3+}\) is \(3d^5\) with 5 unpaired electrons
2. Total spin \(= 5\times\tfrac12 = \pm5/2\).

Teacher's Note:
1. Use the scaling laws for hydrogen-like species first and substitute numbers last; this avoids long arithmetic and exposes the intended ratio.

Question 23: The total spin and spin magnetic moment of Cu\(^+\) are
(a) 0 and 0
(b) 1/2 and 1.73 B.M.
(c) 1 and 2.83 B.M.
(d) 5/2 and 5.92 B.M.
Show Answer & Explanation

Answer: (a) 0 and 0

Explanation:
1. Cu\(^+\) is \(3d^{10}\), fully paired, so total spin and magnetic moment are both zero.
2. Only option (a) agrees with this working.

Teacher's Note:
1. Use the scaling laws for hydrogen-like species first and substitute numbers last; this avoids long arithmetic and exposes the intended ratio.

Practice MCQs for JEE Chemistry Structure Of Atom

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