On applying the pressure on a sphere by 20 x 105 Pa, its volume decreased by 0.1%. The bulk modulus of the material of sphere is ?
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Given:
Pressure applied on the sphere= 2×10⁵ Pa
Percentage decrease in volume = 0.1%
To find:
The bulk modulus of the material of sphere.
Solution:
The relation between volume, pressure and bulk modulus of a material is given as:
β= - VdP/ dV
On putting the values we get:
= V×2×10⁵/ (0.1V/100)
= 2×10⁵/ (0.1/100)
= 2×10⁵/ 0.001
= 2×10⁸Pa
Therefore, the bulk modulus of the material of the sphere is 2×10⁸Pa.
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