Question:

The resistance per centimeter of a meter bridge wire is r, with XΩ  resistance in left gap. Balancing length from left end is at 40 cm with 25 Ω resistance in right gap. Now the wire is replaced by another wire of 2r resistance per centimeter. The new balancing length for same settings will be at:

(1) 20 cm 

(2) 10 cm 

(3) 80 cm 

(4) 40 cm

                                                              JEE-2024         

Solution:                
The resistance per centimeter of a meter bridge wire is r, with XΩ resistance in left gap. Balancing length from left end is at 40 cm with 25 Ω resistance in right gap. Now the wire is replaced by another wire of 2r resistance per centimeter. The new balancing length for same settings will be at: (1) 20 cm (2) 10 cm (3) 80 cm (4) 40 cm JEE-2024

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