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JEE Chemistry 2026 Question with Solution

Given below are two statements:

Statement I: The number of species among BF4\mathrm{BF_4^-}, SiF4\mathrm{SiF_4}, XeF4\mathrm{XeF_4} and SF4\mathrm{SF_4}, that have unequal E–F bond lengths is three. Here, E is the central atom.

Statement II: Among O2\mathrm{O_2^-}, O22\mathrm{O_2^{2-}}, F2\mathrm{F_2} and O2+\mathrm{O_2^+}, O2+\mathrm{O_2^+} has the highest bond order.

In the light of the above statements, choose the correct answer.

  • A

    Both Statement I and Statement II are true

  • B

    Statement I is false but Statement II is true

  • C

    Both Statement I and Statement II are false

  • D

    Statement I is true but Statement II is false

Answer

Correct answer:B

Step-by-step solution

Standard Method

Given: Two statements are given about bond lengths and bond order.

Find: Which option correctly identifies the truth values of Statement I and Statement II.

Statement I: Analyze the species BF4\mathrm{BF_4^-}, SiF4\mathrm{SiF_4}, XeF4\mathrm{XeF_4} and SF4\mathrm{SF_4}.

  • BF4\mathrm{BF_4^-} is tetrahedral, so all BF\mathrm{B-F} bonds are equivalent.
  • SiF4\mathrm{SiF_4} is tetrahedral, so all SiF\mathrm{Si-F} bonds are equivalent.
  • XeF4\mathrm{XeF_4} is square planar, so all XeF\mathrm{Xe-F} bonds are equivalent.
  • SF4\mathrm{SF_4} has seesaw geometry, so axial and equatorial SF\mathrm{S-F} bonds are different.

Therefore, only SF4\mathrm{SF_4} has unequal EF\mathrm{E-F} bond lengths. The number is 11, not 33.

So, Statement I is false.

Statement II: Use molecular orbital bond order.

Bond order=NbNa2\text{Bond order} = \frac{N_b - N_a}{2}

Given values:

  • O2\mathrm{O_2^-} has bond order 1.51.5
  • O22\mathrm{O_2^{2-}} has bond order 11
  • F2\mathrm{F_2} has bond order 11
  • O2+\mathrm{O_2^+} has bond order 2.52.5

Thus, O2+\mathrm{O_2^+} has the highest bond order.

So, Statement II is true.

Therefore, the correct option is B: Statement I is false but Statement II is true.

Geometry and Bond Order Breakdown

Given: Statement I depends on molecular geometry and symmetry, while Statement II depends on molecular orbital bond order.

Find: Evaluate both statements separately.

For Statement I, unequal bond lengths appear when the central atom experiences different bonding environments such as axial and equatorial positions.

  • In BF4\mathrm{BF_4^-}, the geometry is tetrahedral and all fluorine atoms are equivalent.
  • In SiF4\mathrm{SiF_4}, the geometry is tetrahedral and all fluorine atoms are equivalent.
  • In XeF4\mathrm{XeF_4}, the geometry is square planar with two lone pairs opposite each other, so all four XeF\mathrm{Xe-F} bonds remain equivalent.
  • In SF4\mathrm{SF_4}, the geometry is seesaw, derived from trigonal bipyramidal electron arrangement with one lone pair. Axial and equatorial bonds are not equivalent.

Hence only one species has unequal bond lengths, so Statement I is false.

For Statement II, compare bond orders:

O21.5O221F21O2+2.5\begin{aligned} \mathrm{O_2^-} &\rightarrow 1.5 \\ \mathrm{O_2^{2-}} &\rightarrow 1 \\ \mathrm{F_2} &\rightarrow 1 \\ \mathrm{O_2^+} &\rightarrow 2.5 \end{aligned}

The largest value is for O2+\mathrm{O_2^+}, so Statement II is true.

Therefore, the correct option is B.

Common mistakes

  • Assuming that all molecules with lone pairs must have unequal bond lengths is incorrect. In XeF4\mathrm{XeF_4}, the molecular geometry is highly symmetric, so all XeF\mathrm{Xe-F} bonds are equivalent. Always judge bond lengths from the actual molecular shape and symmetry.

  • Counting BF4\mathrm{BF_4^-} or SiF4\mathrm{SiF_4} as having different EF\mathrm{E-F} bond lengths is incorrect because tetrahedral molecules have equivalent bonds. Check whether all surrounding atoms occupy identical positions before concluding bond inequality.

  • Confusing bond order with bond length or magnetic behavior can lead to error in Statement II. The question asks for highest bond order, so compare numerical bond order values directly using molecular orbital theory.

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