Assertion and Reason on Stress and Pressure – Rankers Physics

Solids: Practice Problem & Solution

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion (A): The unit of stress is same as that of pressure. Reason (R): Stress is a vector quantity. In the light of above statements, select the correct option.
Both (A) and (R) are true and (R) is the correct explanation of (A)
Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Solids. Understanding the underlying formula is key to arriving at the correct answer below:

Assertion (A) is true as both stress and pressure are measured in \( \text{N/m}^2 \) (or Pa). Reason (R) is false because stress is a tensor quantity (neither a scalar nor a simple vector).

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