Assertion: In L-C-R series AC circut, `X_(L)= X_(C) = R` at a given frequency. When frequency is doubled, the impedance of the circuit is `sqrt(13)/2`
Assertion: In L-C-R series AC circut, `X_(L)= X_(C) = R` at a given frequency. When frequency is doubled, the impedance of the circuit is `sqrt(13)/2` R.
Reason: The given frequency is resonancle frequency.
A. If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.
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Correct Answer - B
When frequency is doubled,
`X_(L) =2R`
and `X_(C) = R/2` `[as X_(C) propto 1/omega]`
`z=sqrt((R)^(2)+(2R-R/2)^(2)) = sqrt(13)/2` R
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