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Units And Measurement

Question
CBSEENPH11016554

If force is taken as fundamental quantity instead of mass, then what is the dimensional formula of mass in terms of length, time and force?

Solution
Dimensional formula of force is,
straight F space equals space open square brackets straight M to the power of 1 straight L to the power of 1 straight T to the power of negative 2 end exponent close square brackets
rightwards double arrow space straight M space equals space open square brackets straight M to the power of 1 straight L to the power of negative 1 end exponent straight T to the power of negative 2 end exponent close square brackets
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#6 {main}</pre>Dimensional formula of mass in terms of F, L and T is space space open square brackets straight F to the power of 1 straight L to the power of negative 1 end exponent straight T squared close square brackets