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Which one of the following represents th...

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

A

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

B

`[MLT^(-1)]`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C

By Newton's formula
`eta=("dimensions of force")/("dimensions of area"xx "dimensions of velocity gradient")`
`=([MLT^(-2)])/([L^(2)][T^(-1)])=[ML^(-1)T^(-1)]`
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Knowledge Check

  • Which one of the following represnts the correct dimensions of the coefficient of viscocity?

    A
    `[ML^(-1)T^(2)]`
    B
    `[MLT^(-1)]`
    C
    `[ML^(-1)T^(-1)]`
    D
    `[ML^(-2)T^(-2)]`
  • Which of the following represents the correct order?

    A
    Stability : `overset+CH_3 lt CH_3 - overset+CH_2 lt CH_3 - overset+CHCH_3 lt (CH_3)_3overset+C`
    B
    Stability : `dotCH_3 lt CH_3-dotCH_2 lt CH_3 - dot CH-CH_3 lt (CH_3)_3dotC`
    C
    Hyperconjugation : `CH_3 - lt CH_3 - CH_2- lt (CH_3)_2CH - lt (CH_3)_3C-`
    D
    Basic nature: `barCH_3 gt barNH_2 gt barOH gt barF`
  • The dimension of the coefficient of viscosity are:

    A
    `ML^(-1)T^(-1)`
    B
    `MLT`
    C
    `M^(-1) L^(-1) T^(-1)`
    D
    `M^0 L^0 T^0`
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