One part of an element A combines with two parts of B (another element). Six parts of element C combine with four parts of element B. If A and C combine together, the ratio of their masses will be governed by:

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law of reciprocal proportions

law of multiple proportions

law of definite proportions

law of conservation of mass

answer is C.

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Detailed Solution

Let us fix the weight of 'B'
I) 1 part of A combines with 2 parts of B
   X part of A combines with 1 parts of B
   Weight of 'A' combining with 1 part of B = $\frac{1}{2}=0.5$
II) 1 part of A combines with 4 parts of B
   X part of A combines with 1 parts of B
   Weight of 'C' combining with 1 part of B = $\frac{6}{4}=1.5$
   W_A:W_C combinining with fixed weight of B = 0.5:1.5 = 1:3
III) If A and C combine with each other their weight ratio will be the same (or) multiple (or) submultiple of the ratio in which they combine with fixed weight of 'B'. This is law of reciprocal proportions.