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The dimension formula for surface tensio...

The dimension formula for surface tension is :

A

`[MT^(2)]`

B

`[ML^(0)T^(-2)]`

C

`[M^(-1)L^(0) T^(-2)]`

D

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

Text Solution

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The correct Answer is:
d
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If surface tension is defined as force per unit length then the dimensional formula of surface tension is "______"

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Knowledge Check

  • If energy E , velocity v and time T are taken as fundamental quanties, the dimensional formula for surface tension is

    A
    `[Ev^(-2) T^(-2)]`
    B
    `[E^(2) vT^(-2)]`
    C
    `[Ev^(-2) T^(-1)]`
    D
    `[E^(-2) v^(-2) T^(-1)]`

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

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

  • The fundamental unit which has same power in the dimensional formula of surface tension and coefficient of viscosity is

    A
    mass
    B
    length
    C
    time
    D
    none of these

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    Which is the fundamental unit that has the same power in the dimensional formulae of surface tension and coefficient of vicosity ?

    Assertion: The dimensional formula of surface energy is [M^(0)L^(2)T^(-2)] . Reason: surface energy has same dimensions as that of potential energy.

    Assertion: The dimensional formula of surface energy is [M^(1)L^(2)T^(-2)] . ltBrgt Reason: Surface energy has same dimensions as that of potential energy.

    Unit of surface tension is

    Surface tension is due to

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