A) 2 henry
B) 3 henry
C) 4 henry
D) 5 henry
Correct Answer: A
Solution :
\[{{L}_{S}}={{L}_{1}}+{{L}_{2}}=10H\] ..... (i) \[{{L}_{P}}=\frac{{{L}_{1}}{{L}_{2}}}{{{L}_{1}}+{{L}_{2}}}=2.4H\] ..... (ii) On solving (i) and (ii) L1L2 = 24 ..... (iii) Also \[{{({{L}_{1}}-{{L}_{2}})}^{2}}={{({{L}_{1}}+{{L}_{2}})}^{2}}-4{{L}_{1}}{{L}_{2}}\] \[\Rightarrow {{({{L}_{1}}-{{L}_{2}})}^{2}}={{(10)}^{2}}-4\times 24=4\]\[\Rightarrow {{L}_{1}}-{{L}_{2}}=2H\]
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