Can we use prefix of shard key to query the data in sharded cluster

Ops and Admin Sharding
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1

I am using MongoDB to store Multi tenant Data. I have a use case where i need to show the feeds just like facebook .
Requirement:

  1. Show the feeds in descending order by date
  2. By modules .
    Following is my compound shard key tenant_id, module, date.
    Query:
    Can i just use prefix of shard key tenant_id, module sort by desc order date limit 5 skip 10.
  3. Will the above query have any performance impact on the server?
  4. Is this the right way to query? Or do we have any alternate solution?