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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
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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