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Question

The relation between force 'F' and density 'd' is F=xd. The dimensions of x are:
  1. [L1/2M3/2T2]
  2. [L1M1/2T2]
  3. [L1/2M1/2T2]
  4. [L1M3/2T2]

A
[L1M1/2T2]
B
[L1/2M3/2T2]
C
[L1M3/2T2]
D
[L1/2M1/2T2]
Solution
Verified by Toppr

The quantity is x=Fd
Dimensions of force F=[M1L1T2]
Dimensions of density d=[M1L3]
Dimensions of x are [x]=[M1L1T2][M1L3]1/2
[x]=[M3/2L1/2T2]

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