Let the area of the wire-loop be A and magnetic field intensity be B.

When the wire rotates in its own plate the area through which flux passes remains same and B is also constant.

Hence, the flux passing through the loop remains constant and is given by

Now,

by faraday’s law of electromagnetic induction

Where

ϵ =emf produced

ϕ =flux of magnetic field

as flux is constant (independent of time), its derivative with respect to time is zero. Therefore, emf induced in the loop is zero

therefore, zero emf is induced in the wire-loop