JEE Advanced 2019 · Paper 1

The green colour produced in the borax bead test of a chromium(III) salt is due to

1. ACr(BO₂)₃
2. BCr₂(B₄O₇)₃
3. CCr₂O₃
4. DCrB

Calamine, malachite, magnetite and cryolite, respectively, are

1. AZnSO₄, CuCO₃, Fe₂O₃, AlF₃
2. BZnSO₄, Cu(OH)₂, Fe₃O₄, Na₃AlF₆
3. CZnCO₃, CuCO₃·Cu(OH)₂, Fe₃O₄, Na₃AlF₆
4. DZnCO₃, CuCO₃, Fe₂O₃, Na₃AlF₆

A tin chloride Q undergoes the following reactions (not balanced) Q + Cl⁻ → X Q + Me₃N → Y Q + CuCl₂ → Z + CuCl X is a monoanion having pyramidal geometry. Both Y and Z are neutral compounds. Choose the correct option(s)

1. AThe central atom in X is sp³ hybridized
2. BThere is a coordinate bond in Y
3. CThe oxidation state of the central atom in Z is +2
4. DThe central atom in Z has one lone pair of electrons

Fusion of MnO₂ with KOH in presence of O₂ produces a salt W. Alkaline solution of W upon electrolytic oxidation yields another salt X. The manganese containing ions present in W and X, respectively, are Y and Z. Correct statement(s) is(are)

1. AIn aqueous acidic solution, Y undergoes disproportionation reaction to give Z and MnO₂
2. BBoth Y and Z are coloured and have tetrahedral shape
3. CY is diamagnetic in nature while Z is paramagnetic
4. DIn both Y and Z, π-bonding occurs between p-orbitals of oxygen and d-orbitals of manganese

Choose the reaction(s) from the following options, for which the standard enthalpy of reaction is equal to the standard enthalpy of formation.

1. A2H₂(g) + O₂(g) → 2H₂O(l)
2. B2C(g) + 3H₂(g) → C₂H₆(g)
3. C³⁄₂O₂(g) → O₃(g)
4. D⅛S₈(s) + O₂(g) → SO₂(g)

Which of the following statement(s) is(are) correct regarding the root mean square speed (uᵣₘₛ) and average translational kinetic energy (εₐᵥ) of a molecule in a gas at equilibrium?

1. Auᵣₘₛ is doubled when its temperature is increased four times
2. Bεₐᵥ is doubled when its temperature is increased four times
3. Cεₐᵥ at a given temperature does not depend on its molecular mass
4. Duᵣₘₛ is inversely proportional to the square root of its molecular mass

Each of the following options contains a set of four molecules. Identify the option(s) where all four molecules possess permanent dipole moment at room temperature.

1. ABeCl₂, CO₂, BCl₃, CHCl₃
2. BNO₂, NH₃, POCl₃, CH₃Cl
3. CBF₃, O₃, SF₆, XeF₆
4. DSO₂, C₆H₅Cl, H₂Se, BrF₅

In the decay sequence, ²³⁸₉₂U —x₁→ ²³⁴₉₀Th —x₂→ ²³⁴₉₁Pa —x₃→ ²³⁴Z —x₄→ ²³⁰Th x₁, x₂, x₃ and x₄ are particles/radiation emitted by the respective isotopes. The correct option(s) is(are)

1. Ax₁ will deflect towards negatively charged plate
2. Bx₂ is β⁻
3. Cx₃ is γ-ray
4. DZ is an isotope of uranium