Question

The bulk modulus of a liquid is 3 × 10¹⁰ Nm⁻². The pressure required to reduce the volume of liquid by 2% is ______.

Options

• 3 × 10⁸ Nm⁻²

• 9 × 10⁸ Nm⁻²

• 6 × 10⁸ Nm⁻²

• 12 × 10⁸ Nm⁻²

Answer 1

The bulk modulus of a liquid is 3 × 10¹⁰ Nm⁻². The pressure required to reduce the volume of liquid by 2% is 6 × 10⁸ Nm^−2.

Explanation:

Bulk modulus, B =  `-(DeltaP)/((DeltaV)/V)`

⇒ ΔP = `-B(DeltaV)/V`

|ΔP| = +3 × 10¹⁰ × 0.02

 = 6 × 10⁸ Nm⁻²