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JEE Advanced levelSingle correct optionDifficulty 3 of 3cb149

An $AB X_{2}$ molecule has an A-B bond dipole of $2.0 D$ and an observed molecular dipole moment of $2.0 D$ . Assuming only bond dipoles contribute, the B-A-B bond angle is

A $9 0^{\circ}$
B $6 0^{\circ}$
C $15 0^{\circ}$
D $12 0^{\circ}$

Answer: D

For two equal bond dipoles

m

with angle

θ

,

μ = 2 m cos (θ /2)

. Then

2.0 = 2 (2.0) cos (θ /2)

gives

cos (θ /2) = 0.5

, so

θ /2 = 6 0^{\circ}

and

θ = 12 0^{\circ}

.

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