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If velocity (V) , force (F), and energy ...

If velocity (V) , force (F), and energy (E) are taken as fundamental units , then find the dimensional formula for mass.

A

`FTV^(-1)`

B

`F^(-1)TV`

C

`F^(-1)T^(-1)V`

D

`FT^(-1)V^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
F= force, T= time, v= velocity
`F=[MLT^(-2)], T=[T],v=[LT^(-1)]`
Mass `=M=(F)/(a)` (a is acceleration)
`=(Ft)/(v)=([FT])/([V])`
`M=[FTV^(-1)]`
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