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The speed (v) of ripples on the surface ...

The speed `(v)` of ripples on the surface of water depends on surface tension `(sigma)`, density `(rho)` and wavelength `(lambda)`. The square of speed `(v)` is proportional to

A

`sqrt((gamma a)/(rho))`

B

`sqrt((gamma)/(rholambda))`

C

`((gamma)/(rholambda))^((1)/(3))`

D

`(gamma)/(rholambda)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The speed (v) of ripples on the surface of waterdepends on surface tension (sigma) , density (phi) and wavelength (lambda) . The square of speed (v) is proportional to

    A
    `(sigma)/(rho lambda)`
    B
    `(rho)/(sigma lambda)`
    C
    `(lambda)/(sigma rho)`
    D
    `rho lambda sigma`

  • The dependency of speed of water surface waves (capillary waves) on the density of water (rho) their wavelength (lambda) and surface tension (gamma) is -

    A
    `sqrt((gamma)/(rho))`
    B
    `sqrt((gamma)/(rho lambda))`
    C
    `((gamma)/(rho lambda))^((1)/(3))`
    D
    `(gamma)/(rho lambda)`

  • If the velcoity of surface wave (v) depends upon surface tension (T), coefficient of visosity (eta) and density (rho) then the expression for v will be .

    A
    `(T^(2))/(rho eta)`
    B
    `(T)/(eta)`
    C
    `(eta rho)/(T^(3))`
    D
    `(rho)/(eta)`

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