Assertion The materials having low value of Young's modulus of elasticity are more ductile.
Reason If Young's modulus is less, they can be easily stretched as wires.

Options

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.

Answer

To analyze the given assertion and reason, let's break it down step by step.

### Step 1: Understanding Young's Modulus
Young's modulus (E) is a measure of the stiffness of a material. It quantifies the relationship between stress (force per unit area) and strain (deformation) in a material. A low Young's modulus indicates that the material is less stiff and can deform more easily under stress.

**Hint:** Recall that Young's modulus is defined as the ratio of stress to strain.

### Step 2: Ductility of Materials
Ductility refers to the ability of a material to undergo significant plastic deformation before rupture. Ductile materials can be stretched into wires without breaking. Generally, materials with a low Young's modulus are more ductile because they can undergo larger deformations.

**Hint:** Consider how ductile materials behave under tensile stress.

### Step 3: Analyzing the Assertion
The assertion states that materials with a low value of Young's modulus are more ductile. Since a low Young's modulus means the material can deform easily, this assertion is true.

**Hint:** Think about how the deformation characteristics of materials relate to their Young's modulus.

### Step 4: Analyzing the Reason
The reason provided states that if Young's modulus is less, materials can be easily stretched as wires. This is consistent with the definition of ductility. A lower resistance to deformation (due to a lower Young's modulus) means that the material can indeed be stretched more easily.

**Hint:** Relate the concept of resistance to deformation with the ability to stretch materials.

### Step 5: Conclusion
Both the assertion and the reason are true. The reason correctly explains why materials with a low Young's modulus are more ductile. Therefore, both the assertion and reason are correct, and the reason is a correct explanation of the assertion.

**Final Answer:** Both the assertion and reason are true, and the reason is the correct explanation for the assertion.