Home
Class 12
PHYSICS
A ideal gas is kept in a cylinder of cro...

A ideal gas is kept in a cylinder of cross sectional area A and volume `v_0`. The mass of the gas enclosed is M and bulk modulus B. If the piston of the cylinder is pressed by small x, then find the time period of small oscillations,

A

`2pisqrt((BA^2)/(MV_0))`

B

`2pisqrt((BA)/(MV_0^2))`

C

`2pisqrt((BA)/(MV_0))`

D

`2pisqrt((B^2A)/(MV_0))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|135 Videos
  • MODEL QUESTION PAPER

    TARGET PUBLICATION|Exercise MODEL QUESTION PAPER -II|47 Videos
  • QUESTION PAPER 2019

    TARGET PUBLICATION|Exercise MCQ|45 Videos

Similar Questions

Explore conceptually related problems

An air chamber of volume V has a long of cross setional area A.A ball of mass m is fixted smpthlly in the track The ball modulus of air is B ball is pressed down slightly and released, the time period of the oscillation is

Two moles of nitrogen gas is kept in a cylinder of cross-section area 10 cm^(3) . The cylinder is closed by a light frictionless piston. Now the gas is slowly heated such that the displacement of piston during process is 50cm , find the rise in temperature of gas when 200 J of heat is added in it. (Atmospheric pressure =100 kPa, R = 25//3 J//mol-K)

An ideal gas is enclosed in a cylinder having cross sectional area A. The piston of mass M has its lower face inclined at theta to the horizontal. The lower face of the piston also has a hemispherical bulge of radius r. The atmospheric pressure is P_(0) . (a) Find pressure of the gas. (b) The piston is slowly pulled up by a distance x. During the process the piston is always maintained in equilibrium by adding heat to the gas. [It means if the piston is left at any stage it will stay there in equilibrium]. Find change in temperature of the gas. Number of mole of the gas in the cylinder is one.

An ideal gas is kept in a long cylindrical vessel fitted with a frictionless piston of cross-sectional area 10cm^(2) and weight 1kg. The length of the gas column in the vessel mow taken into a spaceship revolving round the earth as satellite. The air pressure in the spaceship is amintained at 100kPa. Find the length of the gas column in the cylinder.

A gas is filled in a cylinder with initial pressure P, initial volume V. When the pressure is increased by dP and volume reduces by dV. The bulk modulus is

A uniform plank of mass m, free to move in the horizontal direction only , is placed at the top of a solid cylinder of mass 2 m and radius R. The plank is attached to a fixed wall by mean of a light spring constant k. There is no slipping between the cylinder and the planck , and between the cylinder and the ground. Find the time period of small oscillation of the system.

A closed and isolated cylinder contains ideal gas. An adiabatic separator of mass m, cross sectional area A divides the cylinder into two equal parts each with volume V_(0) and pressure P_(0) in equilibrium Assume the sepatator to move without friction. The time period of oscillation for small displacements of the piston is

A cylinder piston of mass M sides smoothly inside a long cylinder closed at and enclosing a certain mass of gas The cylinder is kept with its axis horizontal if the piston is distanced from its equations positions it oscillation simple harmonically .The period of oscillation will be

An ideal gas enclosed in a cylindrical container supports a freely moving piston of mass M . The piston and the cylinder have equal cross-sectional area A . When the piston is in equilibrium, the volum of the gas is V_(0) and its pressur is P_(0) . The pistong is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency

A solid cylinder of mass M = 10kg and cross - sectional area A = 20cm^(2) is suspended by a spring of force contant k = 100 N//m and hangs partically immersed in water. Calculate the period of small oscillation of the cylinder.