A lactometer whose mass is 0.2kg is floa...

A lactometer whose mass is 0.2kg is floating vertically in a liquid of relative density 0.9. Area of cross-section of the mariked portion of lactometer in `0.5xx10^(-4)m^(2)`. If it is dipped down in the liquid slightly and released, what type of motion will it execute? what will be its time-period?

Text Solution

Verified by Experts

The correct Answer is:

motion is simple harmonic, 4.2 s

Topper's Solved these Questions

OSCILLATIONS
SL ARORA|Exercise Exercise|233 Videos
OSCILLATIONS
SL ARORA|Exercise Problem|23 Videos
MOTION IN ONE DIMENSION
SL ARORA|Exercise problems for self practice|66 Videos
Physical world
SL ARORA|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

A block of silver of mass 4 kg hanging from a string is immersed in a liquid of relative density 0.72 . If relative density of silver is 10 , then tension in the string will be

A silver ingot weighing 2.1 kg is held by a string so s to be completely immersed in a liquid of relative density 0.8 . The relative density of silver is 0.5 . The tension in the string in kg-wt is

A block of mass 5 kg and volume 0.05"m"^(3) floats in a liquid of density 140 "kg m"^(-3) . The fraction of block inside liquid is

A solid cylinder of denisty rho_(0) , cross-section area A and length l floats in a liquid rho(gtrho_(0) with its axis vertical, as shown. If it is slightly displaced downward and released, the time period will be :

A U-tube of uniform cross-section holds 1 kg of pure mercury and 0.2 kg of water in equilibrium. The diameter of cross-section is 1.2 cm. Relative density of mercury is 13.6. If the system in equilibrium is slightly disturbed, the period of oscillation of the liquid column in the tube will be (take g=10ms^(-2) )

A steel ball of radius 2 mm and of relative density 8.2 is falling through a liquid of relative density 1.9. Its terminal velocity is 0.7 m/s. What is the viscosity of the liquid if the acceleration due to gravity is 10m//s^2 ?

SL ARORA-OSCILLATIONS-Problems for self practice

A pendulum 1 m long makes 20 vibrations in 40s. Find the time taken to...
Text Solution
|
A second's pendulum is taken from a place where g=9.8 ms^(-2) to a pl...
Text Solution
|
If the acceleration due to gravity on the moon is one-sixth of that on...
Text Solution
|
A vertical U-tube of uniform cross-section contains water upto a heigh...
Text Solution
|
A wooden cylinder of mass 20 g and area of cross-section 1 cm^(2) , h...
Text Solution
|
If the earth were a homogeneous sphere of radius R and a straight hole...
Text Solution
|
A weighted glass tube is floating in a liquid with 20cm of its length ...
Text Solution
|
A sphere hung with a wire 60^(@) rotation of the sphere about the wire...
Text Solution
|
A lactometer whose mass is 0.2kg is floating vertically in a liquid of...
Text Solution
|
A body weighing 10g has a velocity of 6cms^(-1) after one second of it...
Text Solution
|
Calculate the energy possessed by a body of mass 20g executing SHM of ...
Text Solution
|
A bob of simple pendulum of mass 1g is oscillating with a frequency 5 ...
Text Solution
|
A oscillator of mass 10kg has a velocity of 5 ms^(-1) after 1 second o...
Text Solution
|
A particle executes SHM of period 8 seconds. After what time of its pa...
Text Solution
|
The total energy of a partical executing simple harmonic motion of per...
Text Solution
|
The force constant of a weightless spring is 16 N m^(-1). A body of ma...
Text Solution
|
A body of mass 0.50kg is executing SHM Its period is 0.1 s and amplitu...
Text Solution
|
A particle which is attached to a spring oscillates horizontally with ...
Text Solution
|
Two exactly identical simple pendulums are oscillating with amplitude ...
Text Solution
|
The length of a weigtless spring increaes by 2cm when a weight of 1.0k...
Text Solution
|