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If the system of equations x plus y plus z equals 6 comma x plus 2 y plus lambda z equals 0 comma x plus 2 y plus 3 z equals 10 has no solution, then Error converting from MathML to accessible text.

  1. 2    
  2. 3    
  3. 4    
  4. 5    

The correct answer is: 3

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Two bars of thermal conductivities K and 3 K and lengths 1 c m and 2 c m respectively have equal cross-sectional area, they are joined lengths wise as shown in the figure. If the temperature at the ends of this composite bar is 0 ℃ and 100 ℃ respectively (see figure), then the temperature ϕ of the interface is

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theta equals fraction numerator K subscript 1 end subscript theta subscript 1 end subscript l subscript 2 end subscript plus K subscript 2 end subscript theta subscript 2 end subscript l subscript 1 end subscript over denominator K subscript 1 end subscript l subscript 2 end subscript plus K subscript 2 end subscript l subscript 1 end subscript end fraction equals fraction numerator K cross times 0 cross times 2 plus 3 K cross times 100 cross times 1 over denominator K cross times 2 plus 3 K cross times 1 end fraction
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