The speed of a wave produced in water is given by 
. Where 
, g and 
are wavelength of wave, acceleration due to gravity and density of water respectively. The values of a, b and c respectively, are
A
1, - 1, 0
B
C
1, 1, 0
D
Text Solution
Verified by ExpertsThe correct answer is:
D
The dimensional form of velocity can be written as
Comparing the exponents for M, L, T,
For M,
M c = M 0
For L,
L a+b-3c = L 1
Fot T,
T -2b =T -1
So,
c=0…(i)
a + b - 3c = 1 ... (ii)
-2b= -1 ...(iii)
From equations (i),(ii),(iii),
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