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Consider a simple harmonic oscillator made up of a mass attached to a spring. What will not be the effect in the motion if the mass were to stay completely immersed in a liquid?
  • a)
    The motion is simple harmonic but with a frequency which is lower compared to when it is in air.
  • b)
    The motion is always of the damped harmonic type.
  • c)
    The motion is always overdamped.
  • d)
    The motion is either of the damped harmonic type or it is overdamped, depending on the liquid.
Correct answer is option 'A,D'. Can you explain this answer?
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Consider a simple harmonic oscillator made up of a mass attached to a ...
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Consider a simple harmonic oscillator made up of a mass attached to a ...
The effect of immersing a simple harmonic oscillator in a liquid:

Introduction:
A simple harmonic oscillator consists of a mass attached to a spring, which undergoes oscillatory motion with a certain frequency. When the mass is completely immersed in a liquid, it will have an effect on the motion of the oscillator.

Effect on frequency:
When the mass is immersed in a liquid, the motion of the mass-spring system will still be simple harmonic, but the frequency of oscillation will be lower compared to when it is in air. This is because the liquid adds additional resistance to the motion, causing the system to oscillate with a lower frequency. Therefore, option A is correct.

Effect on damping:
Damping refers to the process of reducing the amplitude of oscillation over time. When the mass is immersed in a liquid, the motion can be of two types: damped harmonic or overdamped.

Damped harmonic motion:
In damped harmonic motion, the amplitude of oscillation decreases gradually over time, but the system still reaches equilibrium periodically. This occurs when the damping force provided by the liquid is proportional to the velocity of the mass. Therefore, option B is incorrect.

Overdamped motion:
In overdamped motion, the amplitude of oscillation decreases rapidly without any oscillations around the equilibrium position. This occurs when the damping force provided by the liquid is greater than the restoring force of the spring. Therefore, option C is incorrect.

Dependence on the liquid:
The type of motion, whether damped harmonic or overdamped, depends on the specific properties of the liquid. Different liquids will have different damping characteristics, and therefore, the motion can either be of the damped harmonic type or overdamped, depending on the liquid. Therefore, option D is correct.

Conclusion:
When a simple harmonic oscillator is completely immersed in a liquid, the frequency of oscillation will be lower compared to when it is in air. The motion can either be of the damped harmonic type or it can be overdamped, depending on the specific properties of the liquid. Therefore, options A and D are correct.
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Consider a simple harmonic oscillator made up of a mass attached to a spring. What will not be the effect in the motion if the mass were to stay completely immersed in a liquid?a)The motion is simple harmonic but with a frequency which is lower comparedto when it is in air.b)The motion is always of the damped harmonic type.c)The motion is always overdamped.d)The motion is either of the damped harmonic type or it is overdamped,depending on the liquid.Correct answer is option 'A,D'. Can you explain this answer?
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Consider a simple harmonic oscillator made up of a mass attached to a spring. What will not be the effect in the motion if the mass were to stay completely immersed in a liquid?a)The motion is simple harmonic but with a frequency which is lower comparedto when it is in air.b)The motion is always of the damped harmonic type.c)The motion is always overdamped.d)The motion is either of the damped harmonic type or it is overdamped,depending on the liquid.Correct answer is option 'A,D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider a simple harmonic oscillator made up of a mass attached to a spring. What will not be the effect in the motion if the mass were to stay completely immersed in a liquid?a)The motion is simple harmonic but with a frequency which is lower comparedto when it is in air.b)The motion is always of the damped harmonic type.c)The motion is always overdamped.d)The motion is either of the damped harmonic type or it is overdamped,depending on the liquid.Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a simple harmonic oscillator made up of a mass attached to a spring. What will not be the effect in the motion if the mass were to stay completely immersed in a liquid?a)The motion is simple harmonic but with a frequency which is lower comparedto when it is in air.b)The motion is always of the damped harmonic type.c)The motion is always overdamped.d)The motion is either of the damped harmonic type or it is overdamped,depending on the liquid.Correct answer is option 'A,D'. Can you explain this answer?.
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