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Question

The dimension of the physical quantity x in the equation, F=xρ, where F is force and ρ is density is given by  
  1. [M1L4T2]
  2. [M2L2T1]
  3. [M2L2T2]
  4. [M1L2T1]


Solution

The correct option is C [M2L2T2]
Given,
F=xρ
x=Fρ
[x]=[Fρ]
Dimension of F=[MLT2]
Dimension of ρ=[ML3T0]
[x]=[MLT2×ML3T0]
​​​​​​​​​​​​​​[x]=[M2L2T2]

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