Physics-
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Easy

Question

Five rods of same dimensions are arranged as shown in figure. They have thermal conductivities K subscript 1 end subscript comma blank K subscript 2 end subscript comma blank K subscript 3 end subscript comma blank K subscript 4 end subscript a n d K subscript 5 end subscript. When points A blank a n d blank B are maintained at different temperature, no heat would flow through central rod, if

  1. K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript    
  2. K subscript 1 end subscript equals K subscript 4 end subscript a n d K subscript 2 end subscript equals K subscript 3 end subscript    
  3. fraction numerator K subscript 1 end subscript over denominator K subscript 4 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 3 end subscript end fraction    
  4. K subscript 1 end subscript K subscript 2 end subscript equals K subscript 3 end subscript K subscript 4 end subscript.    

The correct answer is: K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript


    The equivalent electrical circuit, figure in these cases is of Wheatstone bridge. No current would flow through central rod C D when the bridge is balanced. The condition for balanced Wheatstone bridge is fraction numerator P over denominator Q end fraction equals fraction numerator R over denominator S end fraction (in terms of resistances)
    fraction numerator 1 divided by K subscript 1 end subscript over denominator 1. K subscript 2 end subscript end fraction equals fraction numerator 1 divided by K subscript 3 end subscript over denominator 1 divided by K subscript 4 end subscript end fraction or fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction equals fraction numerator K subscript 4 end subscript over denominator K subscript 3 end subscript end fraction
    Or K subscript 1 end subscript K subscript 4 end subscript equals K subscript 2 end subscript K subscript 3 end subscript

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