A) \[64cm\And 8cm\]
B) \[8cm\And 64cm\]
C) \[48cm\And 6cm\]
D) \[6cm\And 48cm\]
Correct Answer: D
Solution :
Using the relation \[L={{f}_{o}}+{{f}_{e}}\]and\[M=\frac{{{f}_{o}}}{{{f}_{e}}}\] (here:\[L=54\,\,cm\] and\[M=8\]) Hence \[{{f}_{o}}+{{f}_{e}}=54\] ... (1) and \[\frac{{{f}_{o}}}{{{f}_{e}}}=8\] So \[{{f}_{o}}=8{{f}_{e}}\] ... (2) Now from equation (1) and (2) we get\[8{{f}_{e}}+{{f}_{e}}=54\] So, \[{{f}_{e}}=6\,\,cm\]and\[{{f}_{0}}=48\,\,cm\]
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