$('select').change(function(){
var text = $(this).find('option:selected').text()
var $aux = $('<select/>').append($('<option/>').text(text))
$(this).after($aux)
$(this).width($aux.width())
$aux.remove()
}).change()
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<select>
<option>Select your University</option>
<option>Bangladesh University of Engineering and Technology</option>
<option>Mawlana Bhashani Science and Technology University</option>
</select>
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