Instructions

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’.

Question 53

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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