My laptop can work perfectly on kernels up to 3.13.0-85 so is it possible to install the same in Ubuntu 16.04 without affecting it's performance?
And if yes then how?
You will need Kernel 4.4 or newer. I'm sure there is a way to run an older Kernel, however, it will likely break 16.04 since it relies on the newer Kernel functions.
A list of Ubuntu and Kernel OS/Kernel compatibilities can be found here
For 14.04 users who upgraded to 16.04, the 3.19 kernel (installed by 14.04) appears to remain usable. By similar reasoning, a 3.13 kernel may work as well even though it is not officially supported on the newer os (16.04).
You will need to download the relevant packages and install them manually via dpkg.
You will need Kernel 4.4 or newer. I'm sure there is a way to run an older Kernel, however, it will likely break 16.04 since it relies on the newer Kernel functions.
A list of Ubuntu and Kernel OS/Kernel compatibilities can be found here
https://wiki.ubuntu.com/Kernel/Support
For 14.04 users who upgraded to 16.04, the 3.19 kernel (installed by 14.04) appears to remain usable. By similar reasoning, a 3.13 kernel may work as well even though it is not officially supported on the newer os (16.04).
You will need to download the relevant packages and install them manually via
dpkg.