What happens when I type the wrong password?

Whenever I type the wrong password on my Ubu开发者_运维百科ntu/Gmail etc it takes some time to ask for password again. But if when I type the right password it immediately logs in.

Why? Is it because the algorithms's best case input is the correct password? Is it illusion then what causes it?

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This is a common security measure, to prevent unauthorized users from trying a large number of strings to find your password. By making a short pause after an incorrect entry, it slightly incoveniences the user who enters the wrong password, but it greatly increases the protection from that sort of attack.

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No, it's just to prevent someone malicious from trying multiple passwords quickly.

It has nothing to do with the algorithm.