CGPET 2021 Solved Paper

Given, bulk modulus of a spherical object =BLet a solid sphere of radius R.
Then, its volume,
V=

4

3

πR3⇒

∆V

V

=(

3∆R

R

)[∵z=xn∴

∆z

z

=n

∆x

x

]
∴

∆R

R

=

1

3

∆V

V

......(i)
Now, bulk modules,
B=

p

∆V V

∴

∆V

V

=

p

B

..........(ii)
From eqs. (i) and (ii), we get

∆R

R

=

1

3

p

B