I have configured apache based http and that worked well. But what are the requirement for https. Should i use mod_ssl or open_ssl. What are the differences. And please provide me steps for configuring https. Thanks in advance!!

Maybe this will help: Setting up an SSL secured Webserver with CentOS

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If you want to host real world websites on that server you need SSL certificates from a certification authority. You have to pay money for it and gain less security than promised as some of the CAs cooperate with NSA and maybe others who pay.

That was great tutorial and easy one too.. Anyways thnaks a lot for the link and also please continue working this way.
And when i open the page that i hosted 'suppose "www.diwas.com" ' , directory shows and i have to again click in my index.html to get what i wanted. why is that so?

My detail configuration are:-
i am running centos 6.3 32bit in vmware

/etc/hosts
127.0.0.1 localhost localhost.localdomain localhost4 localhost4.localdomain4
::1 localhost localhost.localdomain localhost6 localhost6.localdomain6
192.168.13.134 www.diwas.com diwas.com

/etc/httpd/conf/httpd.conf
VirtualHost *:443>
SSLEngine on
SSLCertificateFile /etc/pki/tls/certs/ca.crt
SSLCertificateKeyFile /etc/pki/tls/private/ca.key
<Directory /var/www/html/apachetest/>
AllowOverride All
</Directory>
ServerAdmin pradhan.diwas@gmail.com
DocumentRoot /var/www/html/apachetest
ServerName www.diwas.com
ErrorLog logs/dummy-host.example.com-error_log
CustomLog logs/dummy-host.example.com-access_log common
</VirtualHost>

and my index.html is inside /var/www/html/apachetest

ca.key
ca.csr
ca.crt
are created in the same place as mentioned inside /etc/.......
please help and also https works fine but only i need to know
Cant i type www.diwas.com to achieve https://www.diwas.com rather than always typing https://www.diwas.com
please help!!!!!!!!!!!!!

Apaches DirectoryIndex should take care of this. Have a look here: Apache HTTP Server Modules and here Apache Display / Change a Default Page Other Than index.html

The http:// part is the default used by browsers. If you enter an address without it, the browser automatically puts this in front of the address.

There are ways to automatically redirect http to https. Here are a few links:
-(browser side) Some browsers have a plugin that can do this (example: HTTPS Everywhere).
-(server side) You can also let the server do all the work: Apache SSL in htaccess examples or Apache: Redirect http to https Apache secure connection – force HTTPS Connections.