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Assertion : The amplitude of oscillation...

Assertion : The amplitude of oscillation can never be infinite. Reason : The energy of oscillator is continuously dissipated.

A

If both assertion and reson 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.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "The amplitude of oscillation can never be infinite." - In physical systems, especially in oscillatory motion, amplitude refers to the maximum displacement from the equilibrium position. An infinite amplitude would imply an unbounded displacement, which is not physically realizable in practical systems. **Hint**: Think about the physical limitations of real-world systems and how they behave under oscillation. 2. **Understanding the Reason**: - The reason given is "The energy of oscillator is continuously dissipated." - In real oscillatory systems, there are always some forms of damping (like friction, air resistance, etc.) that cause energy to be lost over time. This energy loss prevents the amplitude from growing indefinitely. **Hint**: Consider how energy dissipation affects the motion of an oscillator and its amplitude. 3. **Linking Assertion and Reason**: - The assertion is that the amplitude cannot be infinite, and the reason provided is that energy is continuously dissipated. - Since energy dissipation leads to a decrease in amplitude over time, it supports the assertion that amplitude cannot reach infinity. **Hint**: Reflect on how energy conservation principles apply to oscillatory motion. 4. **Conclusion**: - Both the assertion and the reason are true. - The reason correctly explains why the assertion holds true. Therefore, we conclude that the correct answer is that both the assertion and reason are true, and the reason is the correct explanation of the assertion. **Hint**: Review how assertions and reasons are evaluated in logical statements, especially in physics. ### Final Answer: Both the assertion and reason are true, and the reason is the correct explanation of the assertion.

To solve the question regarding the assertion and reason provided, we will analyze both statements step by step. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that "The amplitude of oscillation can never be infinite." - In physical systems, especially in oscillatory motion, amplitude refers to the maximum displacement from the equilibrium position. An infinite amplitude would imply an unbounded displacement, which is not physically realizable in practical systems. ...
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Knowledge Check

  • At resonance, the amplitude of forced oscillations is

    A
    minimum
    B
    maximum
    C
    zero
    D
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  • The kinetic energy of a particle, executing S.H.M. is 16 J when it is in its mean position. IF the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 Kg, the time period of its oscillations is

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    D
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    A
    If both assertion and reson 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.
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