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Statement-1 : Mechanical transverse wave...

Statement-1 : Mechanical transverse waves cannot be generated in gaseous medium
Statement-2 : Mechanical transverse waves can be produced only in such medium which have shearing property.

A

Statement-1 is true, Statement-2 is true , Statement-2 is correct explanation for Statement-8

B

Statement-1 is true,Statement-2 is true , Statement-2 is NOT a correct explanation for Statement-8

C

Statement-1 is true, Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given problem, we need to analyze both statements and determine their validity based on the principles of wave mechanics. ### Step-by-Step Solution: 1. **Understanding Mechanical Waves**: - Mechanical waves require a material medium for their propagation. This means that they cannot travel through a vacuum. **Hint**: Recall that mechanical waves need a medium to carry the disturbance. 2. **Understanding Transverse Waves**: - In transverse waves, the particles of the medium vibrate perpendicular to the direction of wave propagation. For example, if the wave moves horizontally, the particles move up and down. **Hint**: Visualize how a wave travels through a rope when you shake one end up and down. 3. **Analyzing Statement 1**: - Statement 1 claims that mechanical transverse waves cannot be generated in a gaseous medium. This is true because gases do not have the necessary rigidity or shear strength to support transverse waves. In gases, the particles are too far apart and can only move in the direction of the wave, not perpendicular to it. **Hint**: Think about how gas particles behave compared to solid particles when disturbed. 4. **Analyzing Statement 2**: - Statement 2 states that mechanical transverse waves can only be produced in mediums that have shearing properties (rigidity). This is also true. Solids have the rigidity required for transverse waves to propagate, while gases and liquids do not have sufficient rigidity to support such motion. **Hint**: Remember that rigidity allows particles to return to their original position after being disturbed, which is essential for transverse wave propagation. 5. **Conclusion**: - Both statements are true. Therefore, we can conclude that Statement 1 is correct, and Statement 2 provides the correct reasoning for Statement 1. ### Final Answer: Both Statement 1 and Statement 2 are true. Statement 1 is correct because mechanical transverse waves cannot be generated in a gaseous medium, and Statement 2 correctly explains that such waves can only be produced in mediums with shearing properties.
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