Correct Answer - C
As current is in phase with the applied voltage, X must be R.
`R=(V_(0))/(I_(0))=(400V)/(5A)=80Omega`
As current lags behind the voltage by `90^(@)`, Y must be an inductor.
`X_(L)=(V_(0))/(I_(0))=(400V)/(5A)=80Omega`
In the series combination of X and Y,
`Z=sqrt(R^(2)+X_(L)^(2))=sqrt(80^(2)+80^(2))=80sqrt(2)Omega`
`I_("rms")=(V_("rms"))/(Z)=(V_(0))/(sqrt(2)Z)=(400)/(sqrt(2)(80sqrt(2)))=(5)/(4)A`