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Thermal Physics

Cool goIITian

 Joined: 4 Nov 2011 Post: 30
9 Dec 2011 08:43:16 IST
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Heat Transfer
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Two identical conducting rods are first connected independently to two vassels, one containing water at 100degree and other containing ice at 0degree. In the second case, the rods are joined end to end and connected to the same vessels. Let q1 and q2 be the rate of melting of ice in two cases respectively. Find the ratio q1/q2.

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Joined: 2 Dec 2011
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30 Dec 2011 12:07:51 IST
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Cool goIITian

Joined: 4 Nov 2011
Posts: 30
30 Dec 2011 16:46:02 IST
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No. It is 4:1

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Joined: 1 Jun 2009
Posts: 1330
12 Jan 2012 14:43:21 IST
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the conduction is inversely proprotional to length!!

in case 1:

the length is L for one rod...

no. of  2..........

total conduction = 2 * (due to L)

case 2:

the length of rod = 2L.....

no of separately conducting rods  = 1 (as the 2 rods conduct together)

total conduction = 1 * (due to 2L,  that will 1/2   of due due to L)  =   1 *  1/2  *  (due to L)

ratio = 2 *  (due to L) / 1 *  1/2  *  (due to L) = 4 :1..............!!!!!!

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