Here is a way using the browsecommand method of the BrowseEntry and using a hash to store the values.

#!/usr/bin/perl
use strict;
use warnings;
use Tk;
use Tk::BrowseEntry;

my $var;
my $var1;
my @fruits = qw( apple orange bananna grape); 
my @colors = qw( red orange green purple);

my $widget1; # declare here so you can modify it
             # from first $widget

my %options;
$options{'Fruits'} = \@fruits;
$options{'Colors'} =  \@colors;
#print "@{$options{'Fruits'}}\n";

my $mw = tkinit;
      my $widget = $mw->BrowseEntry(
          -label => 'Select the Journal Name:',
          -variable => \$var,
          -state => 'normal',
          -choices => [qw(Colors Fruits)],
         
          -browsecmd=>sub{
               #print "@_\n";
               my $selected = $_[1];
               print "$selected\n";
               $widget1->configure(
                   -choices => $options{$var},
                   );               
               $mw->update;
              }
        )->pack(
            -side   => 'top',
            -pady => '10',
            -anchor => 'w');


       $widget1 = $mw->BrowseEntry(
          -label => 'Select:',
          -variable => \$var1,
          -state => 'normal',
          -choices => $options{$var},
         #-width  => 45
        )->pack(
            -side   => 'top',
            -pady => '10',
            -anchor => 'w');

MainLoop();
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