Two identical rods are connected between two containers. One of them is at 
. If rods are connected in parallel, then the rate of melting of ice is 
. If they are connected in series, then the rate is 
. The ratio 
is
Text Solution
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According to the question,
When two identical rods are connected in parallel,
So, rate of heat transfer is given by
where, net area 
thermal conductivity constant,
temperature at one end,
temperature at other end
and 
length of rod
As, 
is rate of heat transfer 
So, 
So, for parallel connection,
… (i)
Similarly, for series connection
So, 
So, 
and it can be written as 
..(ii)
On dividing Eq. (i) by Eq. (ii), we get
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