JEE Advanced 2016 · Paper 1

One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to 2.0 L against a constant pressure of 3.0 atm. In this process, the change in entropy of surroundings (ΔSₛᵤᵣᵣ) in J K⁻¹ is (1 L atm = 101.3 J)

1. A5.763
2. B1.013
3. C−1.013
4. D−5.763

The increasing order of atomic radii of the following Group 13 elements is

1. AAl < Ga < In < Tl
2. BGa < Al < In < Tl
3. CAl < In < Ga < Tl
4. DAl < Ga < Tl < In

Among [Ni(CO)₄], [NiCl₄]²⁻, [Co(NH₃)₄Cl₂]Cl, Na₃[CoF₆], Na₂O₂ and CsO₂, the total number of paramagnetic compounds is

1. A2
2. B3
3. C4
4. D5

On complete hydrogenation, natural rubber produces

1. Aethylene-propylene copolymer
2. Bvulcanised rubber
3. Cpolypropylene
4. Dpolybutylene

According to the Arrhenius equation,

1. Aa high activation energy usually implies a fast reaction.
2. Brate constant increases with increase in temperature. This is due to a greater number of collisions whose energy exceeds the activation energy.
3. Chigher the magnitude of activation energy, stronger is the temperature dependence of the rate constant.
4. Dthe pre-exponential factor is a measure of the rate at which collisions occur, irrespective of their energy.

A plot of the number of neutrons (N) against the number of protons (P) of stable nuclei exhibits upward deviation from linearity for atomic number, Z > 20. For an unstable nucleus having N/P ratio less than 1, the possible mode(s) of decay is(are)

1. Aβ⁻-decay (β emission)
2. Borbital or K-electron capture
3. Cneutron emission
4. Dβ⁺-decay (positron emission)

The crystalline form of borax has

1. Atetranuclear [B₄O₅(OH)₄]²⁻ unit
2. Ball boron atoms in the same plane
3. Cequal number of sp² and sp³ hybridized boron atoms
4. Done terminal hydroxide per boron atom

The compound(s) with TWO lone pairs of electrons on the central atom is(are)

1. ABrF₅
2. BClF₃
3. CXeF₄
4. DSF₄