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closed with the note: https://gateoverflow.in/646/gate2000-1-22-ugcnet-june2012-ii-11

$B+$ tree are preferred to binary tree in database because

  1. Disk capacities are greater than memory capacities
  2. Disk access much slower than memory access
  3. Disk data transfer rates are much less than memory data transfer rate
  4. Disk are more reliable than memory
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