Heat and Thermal ExpansionHard

Question

Consider the MB shown in the diagram, let the resistance X have temperature coefficient and the resistance from the RB have the temperature coefficient α2. Let the reading of the meter scale be 10 cm from the LHS. If the temperature of the two resistance increase by small temperature ᐃT then what is the shift in the position of the null point ? Neglect all the other changes in the bridge due to temperature rise

Options

A.9(α1 - α2) ᐃT
B.9(α1 + α2) ᐃT
C.1/9(α1 + α2) ᐃT
D.1/9(α1 - α2) ᐃT

Solution

⇒ X = 10Ω
⇒
⇒ (1 + α1ᐃT) = (1 + α2ᐃT)
⇒ (1 + α1ᐃT) = (1 + α2ᐃT)
⇒ 1 + α1ᐃT - = 1 + α2ᐃT
⇒ (α1 - α2) ᐃT = ⇒ ᐃl = 9 (α1 - α2) ᐃT

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