Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): In a balanced Wheatstone bridge, if the positions of the battery and the galvanometer are interchanged, the bridge remains balanced. Reason (R): The equivalent resistance of the bridge between the battery terminals remains unchanged upon this interchange. In the light of the above statements, choos

Step-by-step solution

Assertion (A) is true: Let the four arms of the Wheatstone bridge be P, Q, R, and S . The condition for a balanced bridge is P Q = R S . This equation can be rearranged as P R = Q S . When the battery and galvanometer are interchanged, the new adjacent arms become P, R and Q, S . Since P R = Q S holds true, the bridge remains balanced. This is known as the reciprocity theorem for a Wheatstone bridge. Reason (R) is false: The equivalent resistance of the bridge before interchanging the battery and galvanometer is R_