Hello SaefurRahman,
Thanks for reaching Microsoft Community and posting your concern here.
Most HDMI cables especially HDMI 2.0 can handle current 4K content, but would still depend with the max resolution and refresh rate that your device could only get. May I know what processor does your Surface have? If you have Surface Pro 4 with Core M processor it could get a maximum resolution of 3840 x 2160 with a max refresh rate of 60Hz for one external display. On the other hand, for Surface Pro 4 with i5 or i7 processor it could get a max resolution of 4096 x 2304 and still max refresh rate of 60Hz connected to one external monitor. If you have one of these processors, please see Troubleshoot connecting Surface to a second screen for more details and troubleshooting.
Hope this helps. Otherwise, don't hesitate to respond to this thread if there’s anything else that needs to be addressed.
Regards,
StevenK