It’s difficult to know! My work isn’t directly solving a specific problem (such as looking for cancer cures) but even the science that seems distant from our everyday lives can come across discoveries or lead to inventions that affect everyone’s lives!
For example the history of particle physics has lead to the discovery of the electron without which we couldn’t have any electrical devices! And the world wide web/internet was developed by particle physicists who wanted to share their results with others! There are some cancer treatments (proton therapy) that have come out of particle physics too.