Assertion: Specific gravity of a fluid is a dimensionless quantity. Reason: It is the ratio of density of fluid to the density of water.

Question

Assertion: Specific gravity of a fluid is a dimensionless quantity. Reason: It is the ratio of density of fluid to the density of water. (A) If both assertion and reason are true and reason is the correct explanation of assertion (B) If both assertion and reason are true but reason is not the correct explanation of assertion (C) If assertion is true but reason is false (D) If both assertion and reason are false

Tardigrade Admin · Accepted Answer

The specific gravity or relative density is defined as the ratio of the density of the substance to the density of water at 4° C. Since specific gravity is a pure ratio, it has no unit and hence, no dimensions.

Q. Assertion : Specific gravity of a fluid is a dimensionless quantity.
Reason : It is the ratio of density of fluid to the density of water.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

The specific gravity or relative density is defined as the ratio of the density of the substance to the density of water at $4^{\circ} C$ . Since specific gravity is a pure ratio, it has no unit and hence, no dimensions.

Q. Assertion : Specific gravity of a fluid is a dimensionless quantity. Reason : It is the ratio of density of fluid to the density of water.