1.

A box `P` and a coil `Q` are connected in series with an `AC` source of variable frequency. The emf of the source is constant at `10 V`. Box `P` contains a capacitance of `1 mu F` in series with a resistance of `32 Omega`. Coil `Q` has a self-inductance 4.9 mH and a resistance of `68 Omega` in series. The frequency is adjusted to that the maximum current flows in `P` and `Q`. At this frequency (a) The impedance of `P` is `77 Omega` (b) The impedance of `Q` is `85 Omega` (c ) Voltage across `P` is `7.7 V` (d) Voltage across `Q` is `9.7 V` A. Only (a),(c ) are correctB. Only (a),(d) are correctdC. Only (c ), (d) are correctD. (a),(c ),(d) are correct

Answer» Correct Answer - D
`i_(0) = (V_(0))/(R ) , Z_(p) = sqrt(R_(1)^(2) + X_(c )^(2)) , Z_(Q) = sqrt(R_(2)^(2) + X_(L)^(2))`
`V_(P) = i_(0) Z_(p)` and `V_(Q) = i_(0) Z_(Q)`


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