<select id="surah_selection" style="position:relative; top:10px; left:25px">
      <option id="1">Select Surah</option>
      <option id="2" >Al-Baqra</option>
      <option id="3">Al-Fatiha</option>
      <option id="4">Al-noor</option>
      <option id="5">Al-Tobah</option>
</select>  <!--Surah selection ends -->

$('#book_selection').change(function(){
    alert("changed");
    var option = document.createElement("option");
    option.text = 'df';
    option.value = 'df';
    var temp = document.createElement('select');
    temp.appendChild(option);
    var root = document.getElementById('book_selection');
    root.appendChild(temp);
    alert("done");
});

$('#book_selection').change(function(){
    var newSelect=document.createElement('select');
    var selectHTML="";
    for(i=0; i<choices.length; i=i+1){
        selectHTML+= "<option value='"+choices[i]+"'>"+choices[i]+"</option>";
    }

    newSelect.innerHTML= selectHTML;
    document.getElementById('book_selection').appendChild(newSelect);
});

$('#book_selection').change(function() {
    $("<select />").append($("<option>", {"value": "me", "text": "me"})).insertAfter($(this));
});

<select id="surah_selection" style="position:relative; top:10px; left:25px">
        <option id="1">Select Surah</option>
        <option id="2" >Al-Baqra</option>
        <option id="3">Al-Fatiha</option>
        <option id="4">Al-noor</option>
    </select>

<script>
function add(){
        var str="<option id='5'>Al-Tobah</option>"
        $("#surah_selection").append(str);
    }
</script>

<div class="surah_selection></div>

var selectSurah = '<select id="surah_selection" style="position:relative; top:10px; left:25px"><option id="1">Select Surah</option><option id="2" >Al-Baqra</option><option id="3">Al-Fatiha</option><option id="4">Al-noor</option><option id="5">Al-Tobah</option></select>';
$(".surah_selection").prepend(selectSurah);