Question

The period of a vibration of a liquid drop is given by T=k a e y

Answer 1

11th

Physics

Mechanical Properties of Fluids

Surface Tension

If the time period (T) of v...

PHYSICS

If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop, and density (ρ) of the liquid, then find the expression of T.

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ANSWER

T=K(s

a

r

b

ρ

c

)

M

0

L

0

T

1

=R(MT

−2

)

−2

(L

b

)(ML

−3

)

c

Comparing powers

of mi

0=a+c

...(1)

Of Li

0=b−3c⇒

b=3e

...(2)

Of Ti

1=−2a⇒

a=−1/2

Solving (1) & (2)

c=1/2

b=3/2

∴T=K

s

r2

r

3/2

ρ

1/2

T=K

s

r

3

ρ