A very long solenoid perpendicular to the page generates a magnetic field into the page whose magnitude increases with time. This induces an emf in a conducting wire loop around the solenoid which lights two identical bulbs connected in series along the wire. Now two points diametrically opposed on the wire loop are shorted with another wire lying to the right of bulb B in the plane of the page. After the shorting wire is inserted.
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When the solenoid's magnetic field increases into the page, it induces an emf in the wire loop due to Faraday's law: . Initially, both bulbs in series light equally. Shorting diametrically opposite points creates two parallel semicircular paths. Each path has equal induced emf but opposite directions due to symmetry, causing currents to cancel in the shorting wire. No current flows through the short, so the original series circuit is unaffected. Both bulbs remain equally lit; neither goes out nor gets brighter.
Final answer: Neither bulb changes brightness; both remain the same.