I took the liberty of thinking that maybe omega was a class that you were referring to incorrectly.
First, there is no select here so that is not going to work for you. You need to test on all input[type=radio].
Next, radio button attribute for selected is actually checked=checked, so you need to test if the one you want to be checked is checked. If not, do nothing, if so, show your div.
A JSFiddle
Using a similar html structure to this below:
<form id="form1" name="form1" method="post" action="">
<p>
<label>
<input type="radio" name="RadioGroup1" value="radio1" id="radio1" />
Radio 1</label>
<br />
<label>
<input type="radio" name="RadioGroup1" value="radio2" id="radio2" />
Radio 2</label>
<br />
<label>
<input type="radio" name="RadioGroup1" value="radio3" id="radio3" />
Radio 3</label>
<br />
</p>
</form>
<div id="grid_9" class="omega" style="display:none">show me when Radio 1 is chosen
your js would look like this:
$(document).ready(function() {
$("input[type=radio]").on('click', function(){
if ($('#radio1').is(':checked')){
$("#grid_9.omega").slideDown("slow");
} else {
$("#grid_9.omega").slideUp("slow");
}
});
});