A) \[2\,X\]
B) \[4\,X\]
C) \[6\,X\]
D) \[8\,X\]
Correct Answer: B
Solution :
\[{{d}_{A}}=2\,cm\] and \[{{d}_{B}}=4\,cm\] \[{{r}_{A}}=1\,cm\] and \[{{r}_{B}}=2\,cm\] From equation of continuity, Av = constant \[\frac{{{X}_{A}}}{{{X}_{B}}}=\frac{{{a}_{B}}}{{{a}_{A}}}=\frac{\pi {{({{r}_{B}})}^{2}}}{\pi {{({{r}_{A}})}^{2}}}={{\left( \frac{2}{1} \right)}^{2}}\] \[\Rightarrow \] \[{{X}_{A}}=4X\]
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