SSH login for normal users using authorized keys

[SysAdmin]

Hi all,
 
I was able to create successful login for the root account from a remote
client with the help of the public key and the authorized key. But when
I tried to do it for a normal account it still asks for the password.
 
Here is what I have done
1. Generated the public key in the client machine.
/2. Copied the same into the server's normal user account's
~/.ssh/authorized_keys
 3. Changed the permission to read only for the file authorized_keys
 
I did the same thing for the root account and it worked but not or other
users.

Thanking You.

Regards

Sachin Khollam