A) \[q\frac{{{z}_{1}}}{{{z}_{2}}}\]
B) \[q\frac{{{z}_{2}}}{{{z}_{1}}}\]
C) \[\frac{q}{1+\frac{{{z}_{1}}}{{{z}_{2}}}}\]
D) \[\frac{q}{1+\frac{{{z}_{2}}}{{{z}_{1}}}}\]
Correct Answer: D
Solution :
\[m=zq\] Þ \[z\propto \frac{1}{q}\] Þ \[\frac{{{z}_{1}}}{{{z}_{2}}}=\frac{{{q}_{2}}}{{{q}_{1}}}\] ......(i) also \[q={{q}_{1}}+{{q}_{2}}\] Þ \[\frac{q}{{{q}_{2}}}=\frac{{{q}_{1}}}{{{q}_{2}}}+1\] Þ \[{{q}_{2}}=\frac{q}{1+\frac{{{q}_{1}}}{{{q}_{2}}}}\] ......(ii) From equation (i) and (ii) \[{{q}_{2}}=\frac{q}{1+\frac{{{z}_{2}}}{{{z}_{1}}}}\]
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