Properties of Matter 1 Question 8

8. A solid sphere of radius r made of a soft material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area a floats on the surface of the liquid, covering entire cross-section of cylindrical container. When a mass m is placed on the surface of the piston to compress the liquid, the fractional decrement in the radius of the sphere, (drr) is

(a) mgKa

(b) Kamg

(c) Ka3mg

(d) mg3Ka

(2018 Main)

Show Answer

Answer:

Correct Answer: 8. (d)

Solution:

ΔP=FA=mga

Bulk modulus, K=ΔPΔV/V

Here, V=43πr3

and ΔV or dV=(4πr3)dr

K=mgA4πr2dr43πr3 or drr=mg3Ka



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक