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A sphere of uniform material is suspended by the means of a spring constant of 600 N. Half of the volume of the sphere is immersed in a liquid of density 12 g/cm3 and in this position, the spring is in natural length. When the sphere is slightly pushed to immerse the sphere fully in water and released, the sphere starts performing simple harmonic motion. If the radius of the sphere is 15 cm, the frequency of the oscillation will be
  • a)
    1.27 s-1
  • b)
    0.98 s-1
  • c)
    0.54 s-1
  • d)
    0.45 s-1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A sphere of uniform material is suspended by the means of a spring con...
When the sphere is half immersed, the system is in equilibrium.When the sphere is given a small push and displaced by 15 cm, the upthrust and the spring force will increase.
Therefore, spring force,

Increase buoyancy = Weight of displaced volume of liquid

Net restoring force,

Acceleration,

Frequency of oscillation,

This is the required solution.
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A sphere of uniform material is suspended by the means of a spring constant of 600 N. Half of the volume of the sphere is immersed in a liquid of density 12 g/cm3 and in this position, the spring is in natural length. When the sphere is slightly pushed to immerse the sphere fully in water and released, the sphere starts performing simple harmonic motion. If the radius of the sphere is 15 cm, the frequency of the oscillation will bea)1.27 s-1b)0.98 s-1c)0.54 s-1d)0.45 s-1Correct answer is option 'C'. Can you explain this answer?
Question Description
A sphere of uniform material is suspended by the means of a spring constant of 600 N. Half of the volume of the sphere is immersed in a liquid of density 12 g/cm3 and in this position, the spring is in natural length. When the sphere is slightly pushed to immerse the sphere fully in water and released, the sphere starts performing simple harmonic motion. If the radius of the sphere is 15 cm, the frequency of the oscillation will bea)1.27 s-1b)0.98 s-1c)0.54 s-1d)0.45 s-1Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A sphere of uniform material is suspended by the means of a spring constant of 600 N. Half of the volume of the sphere is immersed in a liquid of density 12 g/cm3 and in this position, the spring is in natural length. When the sphere is slightly pushed to immerse the sphere fully in water and released, the sphere starts performing simple harmonic motion. If the radius of the sphere is 15 cm, the frequency of the oscillation will bea)1.27 s-1b)0.98 s-1c)0.54 s-1d)0.45 s-1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sphere of uniform material is suspended by the means of a spring constant of 600 N. Half of the volume of the sphere is immersed in a liquid of density 12 g/cm3 and in this position, the spring is in natural length. When the sphere is slightly pushed to immerse the sphere fully in water and released, the sphere starts performing simple harmonic motion. If the radius of the sphere is 15 cm, the frequency of the oscillation will bea)1.27 s-1b)0.98 s-1c)0.54 s-1d)0.45 s-1Correct answer is option 'C'. Can you explain this answer?.
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