Question

8) Find the applied pressure (in Pa) so that a
square Si membrane of side 150 um and
thickness 5 um deflects by 2 nm.
Consider the Young's Modulus of Si = 170
GPa.
2 points
9) What will be the burst pressure (in atm)
for the membrane mentioned in Q8, if the
maximum strength of Si is 6.5 GPa?​

Answer 1

Answer:

the original volume of water, V = 1 L

Let the change in volume of water is ∆V

A/C to question,

% change in volume of water = ∆V/V × 100

0.1 = ∆V/V × 100

∆V = 0.001

from data, the bulk modulus of water,\betaβ = 2.2 × 10^9 N/m²

use formula, \beta=\frac{P}{\frac{\Delta{V}}{V}}β=

V

ΔV

P

so, P = \beta\left(\frac{\Delta{V}}{V}\right)β(

V

ΔV

)

P = 2.2 × 10^9 × 0.001

P = 2.2 × 10^6 N/m²

hence, the pressure on the water should be 2.2 × 10^6 N/m²