How much should the pressure on a litre of water be changed to compress it by 0.10%? | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-9 Mechanical properties of Solids



Q.16:- How much should the pressure on a litre of water be changed to compress it by 0.10%?

 

 

Answer:-



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 × 1)  =  10-3
Bulk modulus, B = ρ / (∆V/V)
ρ = B × (∆V/V)
Bulk modulus of water, B = 2.2 × 109 Nm-2
ρ = 2.2 × 109 × 10-3  =  2.2 × 106 Nm-2
Therefore, the pressure on water should be 2.2 ×106 Nm–2.