As per the question,
Capacity of the condenser c=1μFc=1\mu Fc=1μF
Inductance (L)=0.2H(L)=0.2H(L)=0.2H
Resistance (R)=800Ω(R)=800\Omega(R)=800Ω
For the resonating frequency,
XL=XcX_L=X_cXL=Xc
⇒ω=1LC\Rightarrow \omega=\frac{1}{\sqrt{LC}}⇒ω=LC1
Now, substituting the values of L and C,
⇒2πf=11×10−6×0.2sec−1\Rightarrow 2\pi f = \frac{1}{1\times 10^{-6}\times 0.2} sec^{-1}⇒2πf=1×10−6×0.21sec−1
⇒f=1072×2πsec−1\Rightarrow f=\frac{10^{7}}{2\times 2\pi } sec^{-1}⇒f=2×2π107sec−1
⇒f=0.08×107sec−1\Rightarrow f= 0.08\times 10^{7}sec^{-1}⇒f=0.08×107sec−1
⇒f=0.8×106sec−1\Rightarrow f=0.8\times 10^{6}sec^{-1}⇒f=0.8×106sec−1
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