hiyo.......BRAINLY PEEPS .....
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Let the ratio of length be t
so
length = t and 2t
let ratio of radius be y
so
radius = 2y and 3y
Given
dt1 = dt2 = k (constant )let
since both temprature is constant
Know area of rod A be = πr^21h
so
area = πt*4y ^2
another road area = π*2t*9y^2
we know that
DQ/Dt= - kA(area) dt/dx
For road A
let
Ca=DQ/Dt = kπt*4y^2k/1
for road B
let
Cb= DQ/Dt =18 kπty^2/2
now ration of DQ/DT of A and B is
Ca/Cb = 4πkty^2/9πkty^2
Ca/Cb = 4/9
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