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If V-velocity. K - kinetic energy and T ...

If V-velocity. K - kinetic energy and T - time are chosen as the fundamental units, then what is the dimensional formula for surface tension?

A

`[K V^(-2)T^(-2)]`

B

`[K^(2)VT^(-2)]`

C

`[KV^(2)T^(2)]`

D

`[KV^(-2)T^(2)]`

Text Solution

Verified by Experts

The correct Answer is:
A
`[KV^(-2)T^(-2)]`
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Knowledge Check

  • The dimensional formula for surface tension is

    A
    `[ML^0T^-1]`
    B
    `[ML^0T^-2]`
    C
    `[ML^0T^-3]`
    D
    `[MLT^-2]`

  • If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be:

    A
    `[EV^-1T^-2]`
    B
    `[EV^-2T^-2]`
    C
    `[E^-2V^-1T^-3]`
    D
    `[EV^-2T^-1]`

  • If force |F| , velocity |v| and time |T| are taken as to fundamental units then the dimensions of mass are

    A
    `Fv^(-1)T`
    B
    `Fv^(-1)T`
    C
    `FvT^(-1)`
    D
    `FvT^(-2)`

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