Two straignt conducting plates form an angle \(\theta\) where their ends are joined. A conducting bar in contact with the plates and forming an isosceles triangle with them starts at the vertex at time \(t=0\) and moves with constant velocity \(\vec{v}\) to the right as shown in figure. A magnetic field \(\vec{B}\) points out of the page. The magnitude of emf induced at \(t=1\) second will be

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.