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Statement-1 : Pressure on a body is alwa...

Statement-1 : Pressure on a body is always compressive while stress can be compressive or tensile.
And
Statement-2 : Pressure is always normal to the area while stress can be either normal or tangential.

A

a.Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

b.Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1

C

c.Statement-1 is True, Statement-2 is False

D

d.Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements and determine their validity, we will break down the concepts of pressure and stress step by step. ### Step 1: Understanding Pressure - **Definition**: Pressure is defined as the force applied per unit area. Mathematically, it can be expressed as: \[ \text{Pressure} (P) = \frac{\text{Force} (F)}{\text{Area} (A)} \] - **Nature**: Pressure acts perpendicular (normal) to the surface of the body and is always compressive in nature. This means it always pushes inward on the surface. ### Step 2: Understanding Stress - **Definition**: Stress is defined as the internal resistance offered by a material to deformation. It is also calculated as: \[ \text{Stress} (\sigma) = \frac{\text{Restoring Force} (F_r)}{\text{Cross-sectional Area} (A)} \] - **Nature**: Stress can be compressive, tensile, or shear. This means it can either pull apart (tensile) or push together (compressive), and can also act parallel to the surface (shear). ### Step 3: Analyzing Statement 1 - **Statement 1**: "Pressure on a body is always compressive while stress can be compressive or tensile." - This statement is true. Pressure is always compressive, while stress can be of different types (compressive, tensile, or shear). ### Step 4: Analyzing Statement 2 - **Statement 2**: "Pressure is always normal to the area while stress can be either normal or tangential." - This statement is also true. Pressure acts perpendicular to the surface, while stress can act in various directions, including normal (perpendicular) and tangential (parallel). ### Conclusion - Both statements are true, and Statement 2 provides a correct explanation for Statement 1. Thus, the answer is that both statements are correct. ### Final Answer - **Both Statement 1 and Statement 2 are true. Statement 2 is the correct explanation of Statement 1.** ---
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