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 If momentum (P), area (A) and time (T) are taken to be fundamental quantities, then energy has the dimensional formula 
  • a)
    (P1A−1T1)
  • b)
    (P1A1/2T−1)
     
  • c)
    (P2A1T1)
  • d)
     
    (P1A−1/2T1)
     
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If momentum (P), area (A) and time (T) are taken to be fundamental qua...
[E] = [F][d]
= [P/T][A]½ 
[E] = P1A½T-1
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If momentum (P), area (A) and time (T) are taken to be fundamental qua...
2T-2
b)P2A2T-2
c)P2A-1T-1
d)P2A-1T2

The answer is b) P2A2T-2.

Energy can be expressed as the product of momentum and distance, or force and distance, or power and time. Using the given fundamental quantities, momentum can be expressed as PT, and area as L2 (where L is length).

Thus, energy can be expressed as (PT)(L), which simplifies to PTL. Using the dimensional formulas for P, A, and T, we get P2A2T-2 as the dimensional formula for energy.
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If momentum (P), area (A) and time (T) are taken to be fundamental qua...
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If momentum (P), area (A) and time (T) are taken to be fundamental quantities, then energy has the dimensional formulaa)(P1A−1T1)b)(P1A1/2T−1)c)(P2A1T1)d)(P1A−1/2T1)Correct answer is option 'B'. Can you explain this answer?
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