S – O bond length is maximum in :
(a) SOBr2                    (b) SOCl2                  (c) SOF2                    (d) SO(CH3)2

Dear Student,

Larger the bond angle, shorter is the bond length. 
Now, greater the size of halogen, greater will be the S-X bond angle and so less will be the S-O bond angle.
The order of size among halogens is Br>Cl>F

Therefore, order of S-X bond angle will be S-Br>S-Cl>S-F
And so, order of S-O bond angle will be SO(CH)3<SOBr 2<SOCl2<SOF2 
In case of SO(CH3)3, due to steric hinderance its bond angle is least


Since S-O bond angle in SOBr2 is minimum, so its bond length will be maximum. Hence, the correct answer is SOBr2.  

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