I have 2 radio buttons and jquery running.
first
If you have your radios in a container with id = radioButtonContainerId you can still use onClick and then check which one is selected and accordingly run some functions:
$('#radioButtonContainerId input:radio').click(function() {
if ($(this).val() === '1') {
myFunction();
} else if ($(this).val() === '2') {
myOtherFunction();
}
});