1.

Figure shows a series LCR circuit connected to a variable frequency 230 V source. The source frequency which drives the circuit the circuit in resonance isA. 4 HzB. 5 HzC. 6 HzD. 8 Hz

Answer» Correct Answer - D
Here, `L=5 H,C = 80 mu F = 80xx10^(-6)F, R = 40 Omega`
`V_("rms")=230 V`
The resonannt angular frequency is
`omega_(r )=(1)/(sqrt(LC))=(1)/(sqrt(5xx80xx10^(-6)))=50" rad " s^(-1)`
`therefore upsilon_(r )=(omega_(r ))/(2pi)=(50)/(2pi)=8 Hz`


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