Q46 / 110 · NTA Abhyas (NEET) 2020 · Physics · Units and Dimensions

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is

  • Correct answer
    A
    PV2T2
  • B
    P-1V2T-2
  • C
    PVT2
  • D
    P-1VT2

Solution

Let F∝PxVyTz

by substituting the following dimensions :

[P]=[ML-1T-2], [V]=[LT-1], [T]=[T]

and comparing the dimension of both sides

x=1, y=2, z=2 F=PV2T2

Hence, the correct answer is option: 'A'.

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