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OTP to be sent to Change
use integration for the fact
let length of rod be l
assuming our point of consideration to be A having a1
the take a element dx at a distance x from A
variation of alpha from A is given by:-
instantaneous alpha = a1 + (a2-a1)x/L
now alpha effective = ∫(inst.alpha * dx) / L
solve to get the answer
i leave it to you...
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