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A material has a bulk modulus of 25 × 10 11 N/m 2 . If it undergoes a volumetric strain of 0.2%, what is the excess pres…

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A material has a bulk modulus of 25 × 1011 N/m2. If it undergoes a volumetric strain of 0.2%, what is the excess pressure applied ?

(Shift -II Memory based)

a

5 × 108 N/m2

b

5 × 109 N/m2

c

5 × 1010 N/m2

d

5 × 1011 N/m2

✓ Correct answer: b)

5 × 109 N/m2

Explanation

\(\mathrm{Bulk}\mathrm{Modulus}\mathrm{is}\mathrm{given}\mathrm{by}\\ \mathrm{B}=\frac{\mathrm{P}\mathrm{V}}{∆\mathrm{V}}\\ \mathrm{so},\\ \mathrm{P}=\frac{\mathrm{B}∆\mathrm{V}}{\mathrm{V}}\\ \mathrm{P}=25\times {10}^{11}\times \frac{0.2}{100}=5\times {10}^{9}\mathrm{N}/{\mathrm{m}}^{2}\)

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