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Statement I: The coefficient of friction...

Statement I: The coefficient of friction can be greater than unity.
Statement II: The force of friction is dependent on normal reaction and the ration of force of friction and normal reaction cannot exceed unity.

A

Statement I is true, statement II is true, Statement II is the correct explanation for statement I.

B

Statemet I is true, Statement II is true , Statement II is NOT the correct explanation for Statement I

C

Statement I is True, Statement II is False.

D

Statement I is False, Statement II is true

Text Solution

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The correct Answer is:
To analyze the statements provided in the question, let's break down the concepts of friction and the coefficient of friction step by step. ### Step-by-Step Solution: 1. **Understanding the Coefficient of Friction**: - The coefficient of friction (μ) is defined as the ratio of the force of friction (F_f) between two bodies to the normal force (N) pressing them together. - Mathematically, this is expressed as: \[ \mu = \frac{F_f}{N} \] - Typically, the coefficient of friction ranges from 0 to 1 for most materials. **Hint**: Remember that the coefficient of friction is a dimensionless quantity that indicates how much frictional force is present relative to the normal force. 2. **Evaluating Statement I**: - Statement I claims that the coefficient of friction can be greater than unity. - While most materials have a coefficient of friction less than or equal to 1, there are exceptions. For example, materials like silicon rubber can have a coefficient of friction greater than 1. - Therefore, Statement I is **True**. **Hint**: Consider specific materials that might have unique properties affecting their coefficient of friction. 3. **Understanding the Relationship of Friction and Normal Force**: - The force of friction is dependent on the normal reaction force. The frictional force can be calculated as: \[ F_f = \mu \cdot N \] - This means that if the coefficient of friction is greater than 1, the frictional force can exceed the normal force. **Hint**: Think about how increasing the normal force or the coefficient of friction affects the frictional force. 4. **Evaluating Statement II**: - Statement II states that the ratio of the force of friction to the normal reaction cannot exceed unity. - Given that we have established that the coefficient of friction can be greater than 1, it follows that the ratio of the force of friction to the normal force can also exceed 1. - Therefore, Statement II is **False**. **Hint**: Reflect on the mathematical definition of the coefficient of friction and how it relates to the statements given. ### Conclusion: - **Statement I** is **True**: The coefficient of friction can be greater than unity. - **Statement II** is **False**: The ratio of the force of friction to the normal reaction can exceed unity.

To analyze the statements provided in the question, let's break down the concepts of friction and the coefficient of friction step by step. ### Step-by-Step Solution: 1. **Understanding the Coefficient of Friction**: - The coefficient of friction (μ) is defined as the ratio of the force of friction (F_f) between two bodies to the normal force (N) pressing them together. - Mathematically, this is expressed as: \[ ...
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