Physics-
General
Easy

Question

The identical square rods of metal are welded end to end as shown in figure, Q cal of heat flow through this combination in 4 min. If the rods were welded as shown in figure, the same amount of heat will flow through the combination in

  1. 16 min    
  2. 12 min    
  3. 1 min    
  4. 4 min    

The correct answer is: 4 min


    From fraction numerator increment Q over denominator increment t end fraction equals K A open parentheses fraction numerator increment T over denominator increment x end fraction close parentheses
    increment t equals blank fraction numerator increment Q increment x over denominator K A open parentheses increment T close parentheses end fraction
    In arrangement (b), A is doubled and increment xis halved.
    therefore blank increment t blank rightwards arrow blank fraction numerator 1 divided by 2 over denominator 2 end fraction rightwards arrow fraction numerator 1 over denominator 4 end fraction time
    i e blank comma fraction numerator 1 over denominator 4 end fraction cross times 4 min= 1 min

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