The speed `(v)` of ripples on the surface of waterdepends on surface tension `(sigma)`, density `(rho)` and wavelength `(lambda)`. The square of speed `(v)` is proportional toA. `sigma/(rho lambda)`B. `rho/(sigma lambda)`C. `lambda/(sigma rho)`D. `rho lambda sigma`

The speed `(v)` of ripples on the surface of waterdepends on surface t

1.	The speed `(v)` of ripples on the surface of waterdepends on surface tension `(sigma)`, density `(rho)` and wavelength `(lambda)`. The square of speed `(v)` is proportional toA. `sigma/(rho lambda)`B. `rho/(sigma lambda)`C. `lambda/(sigma rho)`D. `rho lambda sigma`
Answer» Correct Answer - a `v prop sigma^(x)rho^(y)lambda^(z)` `v=ksigma^(x)rho^(y)lambda^(z)` `[LT^(-1)]=[MT^(-2)]^(x)[ML^(-3)]^(y)[L]^(z)` `x+y=0" "," "-2x=-1" "," "-3y+z=1` `x=1/2" "y=-1/2" "z=-1/2` Hence, `v=(sigma^(1//2))/(rho^(1//2)lambda^(1//2))` `v^(2) equiv (sigma/(rho lambda))`

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The speed `(v)` of ripples on the surface of waterdepends on surface tension `(sigma)`, density `(rho)` and wavelength `(lambda)`. The square of speed `(v)` is proportional toA. `sigma/(rho lambda)`B. `rho/(sigma lambda)`C. `lambda/(sigma rho)`D. `rho lambda sigma`

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