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If Energy (E), velcity (v) and time (T) are fundamental units. What will be the dimension of surface tension ?

Text Solution

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The correct Answer is:
`[S]=Ev^(-2)T^(-2)`
Surface tension (S)
`=("work done")/("Area")=("Energy")/("Area")=[E/A]=[E/L^(2)]`
`:' L=vT :. S=E/((vT)^(2))=Ev^(-2) T^(-2)`
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Knowledge Check

  • If energy (E), velocity (V) and force (F) are taken as fundamental quantity, then dimension of mass will be …..

    A
    `E^(1)v^(2)F^(0)`
    B
    `E^(1)v^(-2)F^(0)`
    C
    `E^(1)v^(-1)F^(1)`
    D
    `E^(1)v^(-2)F^(1)`

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