A) \[12\,\Omega \]and\[12\,\Omega \]
B) \[12\,\Omega \] and\[6\,\Omega \]
C) \[6\,\Omega \]and\[12\,\Omega \]
D) \[6\,\Omega \]and\[6\,\Omega \]
E) \[14\,\Omega \]and \[54\,\Omega \]
Correct Answer: D
Solution :
When no current passes through the galvanometer, the bridge is balanced hence, \[\frac{P}{Q}=\frac{R}{S}\] \[\Rightarrow \] \[\frac{24+X}{10}=\frac{84+Y}{30}\] Also, applying Kirchhoffs law \[\Sigma iR=\Sigma iR\] (parallel) \[(X+24)+(84)+Y=(10+30)\] \[\Rightarrow \] \[X+Y=12\] ...(1) and \[3X-Y=12\] ...(2) From Eqs. (l)and (2), we get \[X=6,\text{ }Y=6\](neglecting negative value)You need to login to perform this action.
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