Registered widget is showing up collapsed in the dashboard

Your code is working on my side. It seems that something else is causing this issue. I would look for anything else that is hooked to the widgets-init hook and start from there

Here is how I register multiple sidebars in my theme. I have modified it slightly to to accommodate your names

function mobile_mix_widgets_init() {
    $sidebars = array (
        'sidebar-101' => array (
            __( 'Featured Videos', 'mobile-mix' ) => __( 'SOME DESCRIPTION FOR WIDGET' ),
        ),
        'sidebar-102' => array (   
            __( 'Footer Ad (468x60)', 'mobile-mix' ) => __( 'SOME DESCRIPTION FOR THIS WIDGET' ),
        ),
    );  
    foreach ( $sidebars as $id => $sidebar ) {
        foreach ($sidebar as $name => $description) {
            register_sidebar(
                array (
                    'name'          =>  $name,
                    'id'            =>  $id,
                    'description'   =>  $description,
                    'before_widget' => '<aside id="%1$s" class="widget %2$s">',
                    'after_widget'  => '</aside>',
                    'before_title'  => '<h1 class="widget-title">',
                    'after_title'   => '</h1>',
                )
            );
        }
    }   
}
add_action( 'widgets_init', 'mobile_mix_widgets_init' );