Physics And Measurement Question 207

Question: In a new system of units, the fundamental quantities mass, length and time are replaced by acceleration ‘a’, density ρ and frequency f . The dimensional formula for force in this system is

Options:

A) [ρa4f]

B) [ρa4f6]

C) [ρ1a4f6]

D) [ρ1a4f6]

Show Answer

Answer:

Correct Answer: B

Solution:

[b] F=ma=ρ volume a To write volume in terms of aand f Volumes

=L3(LT2)3T6=a3f6

F=ρa4f6



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