Consider the meter bridge shown in the figure below
The resistance `X` has temperature coefficent `alpha_(1)` and known resistance box [`9Omega` shown] has `alpha_(2)`. For shown situation balance point is at `10cm` from left end, if temperature of system increases by `DeltaT` due to joule heating, then the shift in the balance point is (Assume that only the resistance of `X` and resistance box changes
due to change in temperature and there is no other effect).
A. `9(alpha_(1)-alpha_(2))DeltaT`
B. `9(alpha_(1)+alpha_(2))DeltaT`
C. `(1)/(9)(alpha_(1)+alpha_(2))DeltaT`
D. `(1)/(9)(alpha_(1)alpha_(2))DeltaT`