Question

Plzzz help me in this question

For a dipole, the value of each charge is 10^-10 statcoulomb and their separation is 1A°, then its dipole moment is :
(1) 1 debye
(2) 2 debye
(3) 10^-3 debye
(4) 3 × 10^-20 debye
​

Answer 1

Given,

Magnitude of the charge = 10⁻¹⁰ stat coulomb.

Distance between the two charges = 10⁻¹⁰ m or (1 A°) or 10⁻⁸ cm.

Using the formula of the dipole moment,

Dipole moment = Magnitude of the charge × distance between the two charges.

Now, distance between the two charges = 1 Angstrom only, It will not be two times. 2 is multiplied when the distance between centre and charge is given.

Dipole moment = 10⁻¹⁰ ⁻⁸

= 10⁻²⁰ esu cm.

To convert esu cm into debye, using formula,

1 debye = 10⁻¹⁸ esu cm

Therefore, dipole moment is 1 debye.

Hence, Option (1.) is correct.

Hope it helps.