A) \[{{b}^{2}}<4ac\]
B) \[{{b}^{2}}=4ac\]
C) \[{{b}^{2}}=5ac\]
D) \[{{b}^{2}}=7ac\]
Correct Answer: B
Solution :
[b] \[{{V}_{m}}={{V}_{0}}/(a{{\omega }^{2}}-b\omega +c)\] If there is a single resonant frequency, then this equation should be satisfied for only one that particular resonant frequency, hence \[a{{\omega }^{2}}-b\omega +c=0\] will have equal roots therefore; \[D=0\Rightarrow {{(-b)}^{2}}-4ac=0\Rightarrow {{b}^{2}}=4ac\] particular resonant frequency, hence \[a{{\omega }^{2}}-b\omega +c=0\] will have equal roots therefore; \[D=0\Rightarrow {{(-b)}^{2}}-4ac=0\Rightarrow {{b}^{2}}=4ac\]
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