sudo add-apt-repository ppa:obsproject/obs-studio

 $ sudo add-apt-repository ppa:obsproject/obs-studio
[sudo] password for dhwan:
Repository: 'Types: deb
URIs: https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu/
Suites: noble
Components: main
'
Description:
Latest stable release of OBS Studio
More info: https://launchpad.net/~obsproject/+archive/ubuntu/obs-studio
Adding repository.
Press [ENTER] to continue or Ctrl-c to cancel.
Hit:1 https://packages.microsoft.com/repos/edge stable InRelease               
Hit:2 http://archive.ubuntu.com/ubuntu noble InRelease                         
Get:3 http://archive.ubuntu.com/ubuntu noble-updates InRelease [126 kB]        
Get:4 http://security.ubuntu.com/ubuntu noble-security InRelease [126 kB]      
Get:5 http://archive.ubuntu.com/ubuntu noble-backports InRelease [126 kB]      
Get:6 https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu noble InRelease [17.8 kB]
Get:7 http://security.ubuntu.com/ubuntu noble-security/main amd64 Components [8,988 B]
Get:8 https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu noble/main amd64 Packages [1,188 B]
Get:9 http://archive.ubuntu.com/ubuntu noble-updates/main amd64 Packages [837 kB]
Get:10 https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu noble/main Translation-en [160 B]
Get:11 http://security.ubuntu.com/ubuntu noble-security/restricted amd64 Components [208 B]
Get:12 http://security.ubuntu.com/ubuntu noble-security/universe amd64 Components [52.0 kB]
Get:13 http://security.ubuntu.com/ubuntu noble-security/multiverse amd64 Components [208 B]
Get:14 http://archive.ubuntu.com/ubuntu noble-updates/main amd64 Components [151 kB]
Get:15 http://archive.ubuntu.com/ubuntu noble-updates/restricted amd64 Components [212 B]
Get:16 http://archive.ubuntu.com/ubuntu noble-updates/universe i386 Packages [617 kB]
Get:17 http://archive.ubuntu.com/ubuntu noble-updates/universe amd64 Packages [1,002 kB]
Get:18 http://archive.ubuntu.com/ubuntu noble-updates/universe amd64 Components [315 kB]
Get:19 http://archive.ubuntu.com/ubuntu noble-updates/multiverse amd64 Components [940 B]
Get:20 http://archive.ubuntu.com/ubuntu noble-backports/main amd64 Components [208 B]
Get:21 http://archive.ubuntu.com/ubuntu noble-backports/restricted amd64 Components [212 B]
Get:22 http://archive.ubuntu.com/ubuntu noble-backports/universe amd64 Components [17.7 kB]
Get:23 http://archive.ubuntu.com/ubuntu noble-backports/multiverse amd64 Components [212 B]
Fetched 3,401 kB in 6s (550 kB/s)                                              
Reading package lists... Done
dhwan@dhwan-Aspire-A514-51K:~$ sudo apt update
Hit:1 https://packages.microsoft.com/repos/edge stable InRelease                                                               
Hit:2 http://security.ubuntu.com/ubuntu noble-security InRelease                                                               
Hit:3 http://archive.ubuntu.com/ubuntu noble InRelease                                                 
Hit:4 http://archive.ubuntu.com/ubuntu noble-updates InRelease                   
Hit:5 https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu noble InRelease
Hit:6 http://archive.ubuntu.com/ubuntu noble-backports InRelease
Reading package lists... Done
Building dependency tree... Done
Reading state information... Done
215 packages can be upgraded. Run 'apt list --upgradable' to see them.
dhwan@dhwan-Aspire-A514-51K:~$  sudo apt install ffmpeg obs-studio
Reading package lists... Done
Building dependency tree... Done
Reading state information... Done
ffmpeg is already the newest version (7:6.1.1-3ubuntu5).
ffmpeg set to manually installed.
The following packages were automatically installed and are no longer required:
  libmng2 qt6-image-formats-plugins
Use 'sudo apt autoremove' to remove them.
The following packages will be REMOVED:
  libobs0t64 obs-plugins
The following NEW packages will be installed:
  libfdk-aac2
The following packages will be upgraded:
  obs-studio
1 upgraded, 1 newly installed, 2 to remove and 214 not upgraded.
Need to get 105 MB of archives.
After this operation, 325 MB of additional disk space will be used.
Do you want to continue? [Y/n] y
Get:1 http://archive.ubuntu.com/ubuntu noble/universe amd64 libfdk-aac2 amd64 2.0.2-3~ubuntu4 [332 kB]
Get:2 https://ppa.launchpadcontent.net/obsproject/obs-studio/ubuntu noble/main amd64 obs-studio amd64 31.0.1-0obsproject1~noble [105 MB]
Fetched 105 MB in 8min 3s (218 kB/s)                                                                                           
(Reading database ... 230281 files and directories currently installed.)
Removing obs-plugins:amd64 (30.0.2+dfsg-3build1) ...
dpkg: libobs0t64:amd64: dependency problems, but removing anyway as you requested:
 obs-studio depends on libobs0t64 (= 30.0.2+dfsg-3build1).

Removing libobs0t64:amd64 (30.0.2+dfsg-3build1) ...
(Reading database ... 229933 files and directories currently installed.)
Preparing to unpack .../obs-studio_31.0.1-0obsproject1~noble_amd64.deb ...
Unpacking obs-studio (31.0.1-0obsproject1~noble) over (30.0.2+dfsg-3build1) ...
Selecting previously unselected package libfdk-aac2:amd64.
Preparing to unpack .../libfdk-aac2_2.0.2-3~ubuntu4_amd64.deb ...
Unpacking libfdk-aac2:amd64 (2.0.2-3~ubuntu4) ...
Setting up libfdk-aac2:amd64 (2.0.2-3~ubuntu4) ...
Setting up obs-studio (31.0.1-0obsproject1~noble) ...
Processing triggers for desktop-file-utils (0.27-2build1) ...
Processing triggers for hicolor-icon-theme (0.17-2) ...
Processing triggers for gnome-menus (3.36.0-1.1ubuntu3) ...
Processing triggers for libc-bin (2.39-0ubuntu8.3) ...
Processing triggers for man-db (2.12.0-4build2) ...