Question

The speed of ripples on surface of water depends upon the surface tension density and wavelength the speed v is proportional to

Answer 1

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The speed (v) of ripples on surface of water depends upon the surface tension (σ) density ρ and wave length (λ) the speed v is proportional to

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Answer

Correct option is

C

(

σρ

λ

)

1/2

Let, v∝σ

a

ρ

b

λ

c

[M

0

LT

−1

]∝[MT

−2

]

a

[ML

−3

]

b

[L]

c

∝[ML]

a+b

[L]

−3b+c

[T]

−2a

equating the powers, we get,

a+b=0

−3b+c=1

−2a=−1

∴a=b=c=

2

1

∴v∝σ

2

1

ρ

−

2

1

λ

−

2

1

v∝

ρλ

σ

Explanation:

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