Why doesn't $("#RadioButtons:checked").val() - id selector - work in Internet Explorer but $("input:radio[name='RadioButtons']:checked").val() - name selector - does?
<input name="RadioButtons" id="RadioButtons" type="radio" value="1" checked>
<input name="RadioButtons" id="RadioButtons" type="radio" value="2">
<script>
  alert($("#RadioButtons:checked").val());
  alert($("input:radio[name='RadioButtons']:checked").val());
</script>