A solid sphere of radius R is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. Find the value of bulk modulus, if the fractional decrease in the radius of the sphere is κ when a mass M is placed on the piston to compress the liquid. [Neglect the pressure variation between the piston and sphere and consider κ as positive]

A solid sphere of radius R is surrounded by a liquid in a cylindrical

1.	A solid sphere of radius R is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. Find the value of bulk modulus, if the fractional decrease in the radius of the sphere is κ when a mass M is placed on the piston to compress the liquid. [Neglect the pressure variation between the piston and sphere and consider κ as positive]
Answer» A solid sphere of radius $R$ is surrounded by a liquid in a cylindrical container. A massless piston of area $A$ floats on the surface of the liquid. Find the value of bulk modulus, if the fractional decrease in the radius of the sphere is $κ$ when a mass $M$ is placed on the piston to compress the liquid. [Neglect the pressure variation between the piston and sphere and consider $κ$ as positive]

Discussion

No Comment Found

Related InterviewSolutions

The same retarding force is applied to stop a train. The train stops after 80 m. If the speed is doubled, then the distance will be
A block of wood floats in water with 45th of its volume submerged but in another liquid, it floats fully submerged. The density of the unknown liquid is (in kg/m3)
A machine which is 75 percent efficient, uses 12 joules of energy in lifting up a 1 kg mass through a certain distance. The mass is then allowed to fall through that distance. The velocity at the end of its fall is (in m/s)
A stone is allowed to fall from the top of a tower 80 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 20 m/s along the same line of motion. The two stones will meet after -
A convex lens A of focal length 20 cm and a concave lens B of focal length 5 cm are kept along the same axis with a distace d between them. If a parallel beam of light falling on A leaves B as a parallel beam, then d is equal to (IIT-JEE 1985)
A kid of mass 50 kg stands at the edge of a platform of radius 1 m which can be freely rotated about its axis. The moment of inertia of the platform is 0.02 kg-m2. The system is at rest. The kid throws a ball of mass 2 kg horizontally to his friend (friend standing on the ground) in a direction tangential to the rim with a speed 10 m/s as seen by his friend. The angular velocity with which the platform will start rotating in rad/s is
Two cars of unequal masses use similar tyres. If they are moving at the same initial speed, the minimum stopping distance
The maximum range of a gun on horizontal terrain is 16 km. If g=10 m/s2. What must be the muzzle velocity of the shell
The temperature inside and outside of the refrigerator is 260 K and 315 K respectively. Assuming that the refrigerator cycle is reversible, calculate the heat delivered to the surroundings for every joule of work done.
The electric potential at a point (x, y) in the x - y plane is given by V = - kxy. The field intensity at a distance r from the origin varies as

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment