CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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
mg3Ka
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
mgKa
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Kamg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Ka3mg
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C mg3Ka
Volume of sphere V=4π3r3
Decrease in volume of sphere dV=4π33r2dr
Bulk modulus K=PVdV
dV=PVK ........(1)
Pressure P=ForceArea=mga ......(2)
Using (2) in (1), we get
4π33r2dr=mga.4π3r3.1K
drr=mg3Ka

flag
Suggest Corrections
thumbs-up
0
similar_icon
Similar questions
View More
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Hooke's Law
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon