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The figure shows two thin rods , one mad...

The figure shows two thin rods , one made of aluminium `[alpha = 23 xx 10^(-6) (C^(@))^(-1)]` and the other of steel `[alpha = 12 xx 10^(-6) (C^(@))^(-1)]`. Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

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