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In a system of units, if force (F), acce...

In a system of units, if force `(F)`, acceleration `(A)` and time `(T)` are taken as fundamental units, then the dimensional formula of energyy is

A

`FA^2T`

B

`FAT^2`

C

`F^2AT`

D

`FAT`

Text Solution

Verified by Experts

The correct Answer is:
B
`E=KF^aA^bT^c`
`[ML^2T^-2]=[MLT^-2]^a[LT^-2]^b[T]^c`
`[ML^2T^-2]=[M^aL^(a+b)T^(-2a-2b+c)]`
`a=1`,`a+b=2impliesb=1`
and `-2a-2b+c=-2impliesc=2`
`E=KFAT^2`
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