It depends what the time signature is; if the time signature is 4/4 then a note worth half a beat would be an eighth-note. If the time signature is in say 6/8, then half a beat would be a sixteenth-note. Usually music is in quarter beats, so most probably an eighth-note for you.
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A dotted quarter note. (One beat for the quarter note and half a beat for the dot.)
I believe you mean "crotchet" which is a British musical term for quarter note. In 4/4 (common) time it receives one beat.quaver = eighth note; semi-quaver = sixteenth note.minims = half notes (two crochets); semibreves = whole-notes (four crotchets)source: http://www.shanemcdonald.org/music/learn-types-of-music-notes.html
Like any other note, how many beats it is worth depends entirely on the time signature. But it is equivalent to a half note. The bottom number of the time signature indicates which note equals one beat. In 4/4 time, a quarter note gets one beat, so a minim would be equal to 2 beats. In 2/2 time (or 4/2, or anything else with a 2 on the bottom), a half note is one beat, so also a minim would be one beat.
usually a half noteA half note gets 2 beats if you are in a 2/4, 3/4, 4/4, etc. If you are in an 8 pattern time signature, a quarter note gets two beats.
It could be the quarter note if the piece is slower, or the dotted-half in something faster (such as a waltz).