JEE Main 20188 April
- Exam
- JEE Main
- Year
- 2018
- Date
- 8 April
- Subject
- Physics
- Chapter
- Mechanical Properties of Solids
JEE Main 2018 · 8 April · Physics · Mechanical Properties of Solids
A solid sphere of radius r made of a soft material of bulk modulus...
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 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 , is:
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
For sphere,
$⇒ P = 3K \left(\dfrac{\Delta R}{R}\right)⇒ \dfrac{mg}{3Ka} = \left(\dfrac{\Delta R}{R}\right).
$⇒ P = 3K \left(\dfrac{\Delta R}{R}\right)⇒ \dfrac{mg}{3Ka} = \left(\dfrac{\Delta R}{R}\right).