A) \[\frac{{{I}_{m}}}{9}(4+5\cos \phi )\]
B) \[\frac{{{I}_{m}}}{3}\left( 1+2{{\cos }^{2}}\frac{\phi }{2} \right)\]
C) \[\frac{{{I}_{m}}}{5}\left( 1+4{{\cos }^{2}}\frac{\phi }{2} \right)\]
D) \[\frac{{{I}_{m}}}{9}\left( 1+8{{\cos }^{2}}\frac{\phi }{2} \right)\]
Correct Answer: D
Solution :
\[{{I}_{m}}={{I}_{0}}+4{{I}_{0}}+2\sqrt{{{I}_{0}}\times 4{{I}_{0}}}\cos \phi \] \[{{I}_{m}}={{I}_{0}}+4{{I}_{0}}+4{{I}_{0}}\cos \phi \] \[=\frac{{{I}_{0}}}{9}(5+4\cos \phi )\] \[=\frac{{{I}_{m}}}{9}\left( 1+8{{\cos }^{2}}\phi /2 \right)\]
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