# Does an induced dipole experience a toruqe in an electric field?

In Griffiths' Electrodynamics, it is shown that if a neutral atom is placed in an electric field, it will become polarized with a dipole moment given by $$\mathbf{p}=\alpha \mathbf{E}$$, where $$\alpha$$ is the atomic polarizability.

Then, it states that if a polar molecule is placed in an electric field, it will experience a torque: $$\mathbf{N}=\mathbf{p} \times \mathbf{E}$$.

My question is, why doesn't the induced dipole also experience a torque in an electric field? My reasoning is because the induced dipoles are automatically aligned in the field direction, but I am not sure if this is the right explanation.