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A nichrome wire AB, 100 cm long and of uniform cross section is mounted on a meter scale, the points and B coinciding with 0 cm and 100 cm marks respectively. The wire has a resistance S = 50 ohm. Any point
C along this wire, between A and B is called a variable point to which one end of an electrical element connected. In the following questions this arrangement will be referred to as ‘wire AB’.
In the adjacent circuit a resistance R is used. Initially with 'wire AB' not in the circuit, the galvanometer shows a deflection of d divisions. Now, the 'wire AB' is connected parallel to the galvanometer and the galvanometer shows a deflection nearly $$\frac{d}{2}$$ divisions. Therefore
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