Correct Answer :   tangential and radial modes
                                                                                
                                        Explanation : High frequency (HF) instabilities are troublesome as they can lead to destructive results on the engine. Their destructive effect comes from the accelerated heat transfer as a result of these instabilities causing pressure fluctuations of the magnitude greater than about 20% of the mean combustion chamber pressure. Longitudinal and transverse modes are the two modes through which high-frequency instability occurs. The transverse modes can be further divided as radial and tangential modes.