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Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :
  • a)
  • b)
    v ∝ x
  • c)
  • d)
    v ∝ x-1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two identical charged spheres suspended from a common point by two mas...
From figure tan θ = Fe/mg ≅ θ


Differentiating eq. (1) w.r.t. time

so x2(v) ∝ q Replace q from eq. (2)
x2(v) ∝ x3/2 or v ∝ x–1/2
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Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :a)b)v ∝ xc)d)v ∝ x-1Correct answer is option 'C'. Can you explain this answer?
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Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :a)b)v ∝ xc)d)v ∝ x-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 Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :a)b)v ∝ xc)d)v ∝ x-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 Two identical charged spheres suspended from a common point by two massless strings of lengths l, are initially at a distance d (d << l ) apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity v. Then v varies as a function of the distance x between the spheres, as :a)b)v ∝ xc)d)v ∝ x-1Correct answer is option 'C'. Can you explain this answer?.
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