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The dipole moment of o, p and m-dichloro...

The dipole moment of o, p and m-dichlorobenzene will be in the order :

A

`0 gt p gt m`

B

`p gt o gt m`

C

`m gt o gtp `

D

`0 gt m gtp`

Text Solution

Verified by Experts

The correct Answer is:
D

In p-dichlorobenzene, the two C-Cl diple (say x) are inclined at an angle of `60^(@).` Therefore, according to parallelogram law of forces, the resultant, dipole moment `(mu)`
`= sqrt (x ^(2) + x ^(2) + 2x xx cos 60^(@))`
` = sqrt (x ^(2) + x ^(2) + 2x ^(2) xx 1//2)`
` = sqrt ( 3x ^(2)) = sqrt 3x `
In m-dichlorobenzene, the two dipoles are inclined to each other at an angle of `120^(@),` thereofre, the resultant
`= sqrt (x ^(2) + x ^(2) 2x xx cos 120^(@))`
`= x ^(2) + x ^(2) + 2x ^(2) xx (-1 //2)`
`= sqrt ( x ^(2) =x`
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