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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’.
The 'wire AB' is now a part of the adjacent circuit. With the resistors $$P = 50\ \Omega$$ and $$Q = 100\ \Omega$$, the null point is obtained at C where $$AC = 33$$ cm. When the resistors are interchanged, the null point is found at C with $$AC = 67$$ cm. The systematic error in this experiment seems to be due to non-coincidence of A and B with the 0 cm mark and the 100 cm mark respectively. If these end errors are equivalent to 'a' cm and 'b' cm respectively, then they are
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