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Which one of the following represents th...

Which one of the following represents the correct dimensions of the quantity : `x=(eta)/(rho)`, where `eta`=coefficient of visocosity and `rho` =the density of a liquid?

A

`[ML^(-2)T^(-1)]`

B

`[ML^(-4)T^(-2)]`

C

`[ML^(-5)T^(-2)]`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
`[(eta)/(rho)]=[(ML^(-1)T_(-1))/(ML^(-3))]=[M_(0)L^(2)T_(-1)]`.
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Knowledge Check

  • Which one of the following represents the correct dimensions of the coefficient of viscosity?

    A
    (a) `ML^(-1)T^(-1)`
    B
    (b) `MLT^(-1)`
    C
    ( c ) `ML^(-1)T^(-2)`
    D
    (d) `ML^(-2)T^(-2)`

  • Which one of the following represents the correct dimensions of the coefficient of viscosity?

    A
    `[ML^(-1)T^(-2)]`
    B
    `[MLT^(-1)]`
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    D
    `[ML^(-2)T^(-2)]`

  • Which one of the following is correct about surface tension and viscosity (eta) ?

    A
    Both increase with temperature
    B
    Both decrease with temperature
    C
    Surface tension increases whereas `eta` decreases with temperature
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