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Indian Navy Pilot JEE Main 2023 Mixed — practice questions

Explore 40 free JEE Main 2023 Mixed questions in Indian Navy Pilot Chemistry. Open each question or exercise to read its content, reference answers and available explanation.

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JEE Main 2023 Mixed questions and exercises with answers

Showing questions 1–30 of 40.

The radius of the $n$-th Bohr orbit of a hydrogen-like atom of atomic number $Z$ varies as:Read the answer and worked solution →pH of 10⁻⁸ M HCl solution (in water):Read the answer and worked solution →Number of σ and π bonds in CO₂:Read the answer and worked solution →Hybridization of P in PCl₅:Read the answer and worked solution →Rutherford's $\alpha$-particle scattering experiment used a thin foil of which metal?Read the answer and worked solution →For a hydrogen-like atom of nuclear charge $Z$, the radius of the $n$th Bohr orbit scales asRead the answer and worked solution →The energy of the $n$th Bohr orbit of a hydrogen-like atom isRead the answer and worked solution →An electron is accelerated through a potential difference of $100\,V$. Its de Broglie wavelength is approximatelyRead the answer and worked solution →How many orbitals are present in the $n = 3$ shell?Read the answer and worked solution →In Thomson's atomic model (plum-pudding), the atom isRead the answer and worked solution →The Bohr orbit velocity of the ground-state electron in hydrogen is aboutRead the answer and worked solution →As per your syllabus, which pair of nuclides represents ISOBARS (same A, different Z)?Read the answer and worked solution →As per your syllabus, eqn 2.22, the de Broglie wavelength λ of a particle of momentum p (or mass m, velocity v) is which expression?Read the answer and worked solution →The shape of a p-orbital is best described as:Read the answer and worked solution →Order the atomic models as they were proposedRead the answer and worked solution →Match each scientist to their modelRead the answer and worked solution →Match each model to what it could NOT explainRead the answer and worked solution →True or false: Rutherford's modelRead the answer and worked solution →True or false: Bohr's modelRead the answer and worked solution →Complete the reason Bohr's model failsRead the answer and worked solution →Which model does this belong to?Read the answer and worked solution →Match each quantum number to what it is calledRead the answer and worked solution →True or false: the quantum mechanical modelRead the answer and worked solution →Order the structure: from atom down to electronRead the answer and worked solution →Complete the (n + l) ruleRead the answer and worked solution →True or false: orbital energiesRead the answer and worked solution →Match each rule to what it forbids or requiresRead the answer and worked solution →Tap every statement Hund's rule requiresRead the answer and worked solution →The fundamental particlesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →

Worked practice questions

The radius of the $n$-th Bohr orbit of a hydrogen-like atom of atomic number $Z$ varies as:

  1. $r \propto n / Z^2$
  2. $r \propto Z / n^2$
  3. $r \propto n^2 / Z$
  4. $r \propto Z n^2$
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Correct answer: C. $r \propto n^2 / Z$

From Bohr's derivation, $r_n = \dfrac{n^2 h^2}{4\pi^2 m k Z e^2}$, hence $r_n \propto n^2 / Z$. **Therefore higher orbits are larger ($n^2$) and higher-$Z$ atoms hold their electrons in tighter orbits ($1/Z$).**

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pH of 10⁻⁸ M HCl solution (in water):

  1. Less than 7
  2. 8
  3. Cannot determine
  4. Close to 7 (autoionization of water dominates at this low H⁺ concentration)
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Correct answer: A. Less than 7

At 10⁻⁸ M HCl, must include water's H⁺ from autoionization (10⁻⁷ M). Total H⁺ ≈ 10⁻⁷ + 10⁻⁸ = 1.1 × 10⁻⁷ M. pH ≈ 6.96, slightly less than 7.

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Number of σ and π bonds in CO₂:

  1. 4σ, 0π
  2. 2σ, 0π
  3. Random
  4. 2σ, 2π (linear O=C=O)
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Correct answer: D. 2σ, 2π (linear O=C=O)

CO₂ = O=C=O. Each double bond = 1σ + 1π. Total: 2σ + 2π.

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