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Velocity v of wave produced in the water depends on the wave length lamda (L) density of water d and acceleration due to gravity g relation betweeen these quantities will be

pallavi pradeep bhardwaj , 16 Years ago
Grade 12
anser 1 Answers
Badiuddin askIITians.ismu Expert

Dear pallavi

This is a problem of dimention

let

V = k λadbgc

 

  where k ,a,b,c are constant

Now write the dimension of all the quantities

[ M0 L1 T-1]  = [L1]a[ M1 L-3]b [L1 T-2]c

[ M0 L1 T-1]  = [ Mb L-3b+a+c  T-2c]

compair

b=0

-2c=-1   or c=1/2

and  -3b +a+c =1

 a =1/2

so V =k(λg)1/2

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Last Activity: 16 Years ago
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