JSFiddle - React, Tailwind, and code Playground

HTML

<select id="engine"></select>

JavaScript

var data =' ["Turbo Diesel","Turbocharged Petrol","Turbo Diesel","Turbocharged Petrol"]';

var parsedjson = $.parseJSON(data);
$.each( parsedjson , function( index, item ) {
           $("<option/>",{value:item,text:item}).appendTo("#engine");

        });