PhysicsLAB: Beats

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A guitarist tuning an instrument to a piano note of 440 hz detects five beats per second.

What are the two possible frequencies of the guitar tone?

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Two musicians simultaneously play notes with frequency 256 hz and 252 hz.

What beat frequency will be heard by the two musicians?

What would be the pitch of the beats?

How could the beat frequency be made to be zero?

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Two identical strings on different violins are tuned to a 329.6-hz note. The peg holding one of the strings slips, so its tension is decreased by 2%.

What is the frequency of the violin whose peg slipped?

What is the beat frequency heard when the strings are then played together?