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A coil (which can be modeled as a series RL circuit) has been designed for high-Q performance at a rated voltage and a specified frequency. If the frequency of operation is doubled, and the coil is operated at the same rated voltage, then the Q-factor and the active power P consumed by the coil will be affected as follows
P is doubled, Q is halved
P is halved, Q is doubled
P remains constant, Q is doubled
P is decreased 4 times, Q is doubled
Since Q- factor of series RL circuit = 
When frequency is doubted, 
Hence, Q is doubled.
Active power, 
Current in a RL Series Circuit is given by, 
Since, 
, 
Since coil is having high quality factor. So, 
So P decreased by 4 times.