Mechanical Properties of solids NCERT Solutions Class 11 Physics - Solved Exercise Question 9.16

Question 9.16:
How much should the pressure on a litre of water be changed to compress it by 0.10%?

Solution:
Volume of water, V = 1 L
It is given that water is to be compressed by 0.10%.
∴ Fractional change, ∆V / V = 0.1 / (100 X 1)  =  10-3
Bulk modulus, B = ρ / (∆V/V)
ρ = B X (∆V/V)
Bulk modulus of water, B = 2.2 X 109 Nm-2
ρ = 2.2 X 109 X 10-3  =  2.2 X 106 Nm-2
Therefore, the pressure on water should be 2.2 ×106 Nm–2.

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