22. A liquid of density p is filled in a U-tube of uniform cross-section up to a height h. If the liquids
one limb of the tube is pressed slightly downward and then left, the liquid column executes vertica
oscillations. Assuming that the period T of oscillations may depend on h, p and g, find a possibile
formula fort by the method of dimensions. Ans. T = k/h/g, where k is a dimensionless constant
Answers
Answer:
A u-tube of uniform cross-section is kept in a vertical position. A liquid of mass m and density d is filled in one of its limbs. This liquid will oscillate in this tube with time period T given by
MEDIUM
Share
Study later
VIDEO EXPLANATION
ANSWER
Equation of motion for the liquid can be given by
m
dt
2
d
2
x
=−2xadg, where a is the cross section of the u tube.
⇒
dt
2
d
2
x
+
m
2adg
x=0
⇒
dt
2
d
2
x
+ω
0
2
x=0,
where ω
0
2
=
m
2adg
⇒
T
2π
=
m
2adg
⇒T=2π
2adg
m
Ans: D
solution
Answer By
avatar
Toppr
SHARE
How satisfied are you with the answer?
This will help us to improve better
answr
Get Instant Solutions, 24x7
No Signup required
girl
More Questions by difficulty
EASY
MEDIUM
HARD
Prev Question
Next Question
Practice from
20+ Live Tests
and see where you stand among the best in India
Physics
Chemistry
Mathematics
Biology
Practice important Questions
Wave motion and waves in a string
251 Qs
Related Questions to study
The displacement y of a particle varies with time t in seconds, as y=2cos(πt+
6
π
). The time period of the oscillations is
Study later
View Answer
A simple harmonic motion has an amplitude A and time period T. The minimum time required by to from x = A to x =
2
A
is
Study later
Explanation:
answer for the question
