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

Similar Questions

Explore conceptually related problems

A cylinder of mass M, radius R is kept on a rough horizontal plane at one extreme end of the platform at t = 0. Axis of the cylinder is parallel to z-axis. The platform is oscillating in the xy-plane and its displacement from origin is represented by x = 4 cos( 2pit ) metres. There is no slipping between the cylinder and the platfonn. Find the acceleration of the centre of mass of cylinder at t = 1/6 s

A pendulumd made of a uniform wire of cross sectional area (A) has time T.When an additionl mass (M) is added to its bob, the time period changes to T_(M). If the Young's modulus of the material of the wire is (Y) then 1/Y is equal to:

One mole of an ideal gas is initially kept in a cylinder with a movable frictionless and massless piston at pressure of 0.1 mPa and temperature 27^@C . It is then expanded till its volume is doubled. How much work is done if the expansion is isobaric ?

One end of a long mettalic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass M hangs freely from the free end of the spring. The area of cross-section and Young's modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

A brass wire of length 4.5 m, with cross-section area of 3 xx 10^-5 m^2 and a copper wire of length 5.0 m with cross section area 4 xx 10^5 m^2 are stretched by the same load. The same elongation is produced in both the wires. Find the ratio of Young's Modulus of brass and copper.