JEE Main · 2019 · Shift-ImediumBOND-127

Two pi and half sigma bonds are present in:

Chemical Bonding · Class 11 · JEE Main Previous Year Question

Question

Two pi and half sigma bonds are present in:

Options
  1. a

    O2\mathrm{O_2^-}

  2. b

    N2+\mathrm{N_2^+}

  3. c

    N2\mathrm{N_2}

  4. d

    O2\mathrm{O_2}

Correct Answerb

N2+\mathrm{N_2^+}

Detailed Solution

🧠 "Two pi and half sigma" means: 2 complete π bonds + 0.5 σ bond from the net MO contributions.

🗺️ N2+\mathrm{N_2^+} (13 electrons, N₂-type ordering):

\sigma_{1s}^2\sigma^*_{1s}^2\sigma_{2s}^2\sigma^*_{2s}^2\pi_{2p_x}^2\pi_{2p_y}^2\sigma_{2p_z}^1

Net σ contribution: \sigma_{2s}^2(+1) + \sigma^*_{2s}^2(-1) + \sigma_{2p_z}^1(+0.5) = 0.5 σ bond

Net π contribution: π2px2(+1)+π2py2(+1)=2\pi_{2p_x}^2(+1) + \pi_{2p_y}^2(+1) = 2 π bonds

Total BO = 0.5+2=2.50.5 + 2 = 2.5

⚡ For comparison — N2\mathrm{N_2} has 1σ + 2π (integer bonds), and O2\mathrm{O_2^-} has fractional π character. Only N2+\mathrm{N_2^+} gives exactly two pi and half sigma.

Answer: N2+\boxed{\text{Answer: } \mathrm{N_2^+}}

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