wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The velocity of water wave (v) may depend on their wavelength λ, the density of water ρ and the acceleration due to gravity g. The method of dimensions gives the relation between these quantities as

A
v
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
v2gλ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
v2gλ2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
v2g1λ2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B v2gλ
Let v=kλaρbgc
So, [M0LT1]=La(ML3)b(LT2)c=MbLa3b+cT2c
Applying principle of homogeneity.
b=0,a3b+c=1 and 2c=1
On solving, we get c=12
a=12
vλ12ρ0g12 or v2λg

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon