Question
If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be
BITSAT
Physics
Units and Dimensions
2021
BITSAT 2021
BITSAT Physics Question (2021) — Solution
Options
- A. [ FL ^ -1 ~T ^ 2 ]
- B. [ FL ^ -1 ~T ^ -2 ]
- C. [ FL ^ -1 ~T ^ -1 ]
- D. [ FL ^ 2 ~T ^ 2 ]
Answer
D. [ FL ^ 2 ~T ^ 2 ]
Step-by-step solution
Let m = KF ^ a L ^ b T ^ c Substituting the dimensions of [ F ]= [ MLT ^ -2 ],[ L ]=[ L ] and [ T ]=[ T ] and comparing both side, we get m = FL ^ -1 ~T ^ 2
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