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A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3ρ. The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)
  • a)
    The net elongation of the spring is 
  • b)
    The net elongation of the spring is 
  • c)
    The light sphere is partially submerged
  • d)
    The light sphere is completely submerged
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
A solid sphere of radius R and density ρ is attached to one end of...
Consider the equilibrium of the system of both spheres and the spring.
The weight of system
This is to be balanced by the buoyant force.
This can be possible only when the light sphere is completely submerged. In this way the buoyant force
Now considering the equilibrium of the heavy sphere Fs + B = W
∴ Fs = W – B
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A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3ρ. The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)a)The net elongation of the spring isb)The net elongation of the spring isc)The light sphere is partially submergedd)The light sphere is completely submergedCorrect answer is option 'A,D'. Can you explain this answer?
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A solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3ρ. The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)a)The net elongation of the spring isb)The net elongation of the spring isc)The light sphere is partially submergedd)The light sphere is completely submergedCorrect answer is option 'A,D'. 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 solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3ρ. The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)a)The net elongation of the spring isb)The net elongation of the spring isc)The light sphere is partially submergedd)The light sphere is completely submergedCorrect answer is option 'A,D'. 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 solid sphere of radius R and density ρ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density 3ρ. The complete arrangement is placed in a liquid of density 2ρ and is allowed to reach equilibrium. The correct statement(s) is (are)a)The net elongation of the spring isb)The net elongation of the spring isc)The light sphere is partially submergedd)The light sphere is completely submergedCorrect answer is option 'A,D'. Can you explain this answer?.
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