A vessel of 1 ×10^-3 m^3 volume contains oil, when a pressure of 1.2 ×10^5 N / m^2 is applied

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A vessel of 1 ×10^-3 m^3 volume contains oil, when a...

A vessel of $1 \times 10^{-3} \mathrm{~m}^{3}$ volume contains oil, when a pressure of $1.2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$ is applied on it, then volume decreases by $0.3 \times 10^{-6} \mathrm{~m}^{3}$. The bulk modulus of oil is (A) $1 \times 10^{6} \mathrm{~N} / \mathrm{m}^{2}$ (B) $2 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$ (C) $4 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$ (D) $6 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$

A vessel of $1 \times 10^{-3} \mathrm{~m}^{3}$ volume contains oil, when a pressure of $1.2 \times 10^{5} \mathrm{~N} / \mathrm{m}^{2}$ is applied on it, then volume decreases by $0.3 \times 10^{-6} \mathrm{~m}^{3}$. The bulk modulus of oil is
(A) $1 \times 10^{6} \mathrm{~N} / \mathrm{m}^{2}$
(B) $2 \times 10^{7} \mathrm{~N} / \mathrm{m}^{2}$
(C) $4 \times 10^{8} \mathrm{~N} / \mathrm{m}^{2}$
(D) $6 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$

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Key Concepts

Bulk Modulus

The bulk modulus is a measure of a material's resistance to uniform compression. It is defined as the ratio of the applied pressure increase to the relative decrease in volume. This concept is crucial in understanding how substances, particularly fluids, respond to changes in pressure and is widely used in fields like fluid mechanics and materials science.

Pressure

Pressure is the force exerted per unit area. In the context of this concept, a change in pressure is what drives the compression of a substance. It is a fundamental parameter in the study of fluids and solids under various loading conditions, and it directly relates to how materials deform under stress.

Relative Volume Change

Relative volume change refers to the fraction of the original volume by which a substance is compressed or expanded. It is the quantity obtained when the change in volume is divided by the original volume. This concept is essential for quantifying the compressibility of materials, especially when determining properties like the bulk modulus.

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