Question

Three spheres are subjected to a hydraulic stress. The pressure on spheres 1 and 2 is the same, and they are made of the same material. The fractional compression on the third sphere is equal to the fractional compression on the first sphere times the reciprocal of the fractional compression on the second. If the pressure on the third sphere is 150000 N/m2 , what is the Bulk Modulus for the third sphere

Answer 1

"150000 N/m²" is the right approach.

Step-by-step explanation:

According to the question, the pressure on the two spheres 1 and 2 is same.

Sphere 1 and 2:

Then,

⇒
`P_1=P_2`

⇒
`(\Delta V_1)/(V_1)=(\Delta V_2)/(V_2)`

and the bulk modulus be,

⇒
`B_1=B_2`

Sphere 3:

⇒
`(\Delta V_3)/(V_3) =((\Delta V_1)/(V_1) )/((\Delta V_2)/(V_2) ) =1`

then,

⇒
`P_3=B* (\Delta V_3)/(V_3)`

⇒
`=B* 1`

⇒
`=150000* 1`

⇒
`=150000 \ N/m^2`