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Question

If pressure is (P), velocity (V), and time (T) are taken as the fundamental quantities, then the dimensional formula of force is
  1. [P1V1T1]
  2. [P1V2T1]
  3. [P1V2T2]
  4. P1V1T2

A
[P1V2T2]
B
[P1V1T1]
C
[P1V2T1]
D
P1V1T2
Solution
Verified by Toppr

Force=PxVyTz

[MLT2]=[MLT2L2]x[LT1]y[T]z

Comparing the dimensions on both side, we get,

x=1, y=2, z=2


So, Force=[P1V2T2]

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