A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see fig. I).The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supportshave negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is andndash;a)4b)2c)1/2d)1/4Correct answer is option 'C'. Can you explain this answer?

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A block (B) is attached to two unstretched springs S₁ and S₂ with spring constants k and 4k, respectively (see fig. I).
The other ends are attached to identical supports M₁ and M₂ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is –

a)
4
b)
2
c)
1/2
d)
1/4

Correct answer is option 'C'. Can you explain this answer?

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A block (B) is attached to two unstretched springs S1 and S2 with spri...

When the block B is displaced towards wall 1, only spring S₁ is compressed and S₂ is in its natural state.
This happens because the other end of S₂ is not attached to the wall but is free. Therefore the energy stored in the system = 1/2
k₁ x² . When the block is released, it will come back to the equilibrium position, gain momentum, overshoot to equilibrium position and move towards wall 2. As this happens, the spring S₁ comes to its natural length and S2 gets compressed. As there are no frictional forces involved, the P.E. stored in the spring S₁ gets stored as the P.E. of spring S₂when the block B reaches its extreme position after compressing S₂ by y.

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A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see fig. I).The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supportshave negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is –a)4b)2c)1/2d)1/4Correct answer is option 'C'. Can you explain this answer?

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A block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see fig. I).The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supportshave negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is –a)4b)2c)1/2d)1/4Correct 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 block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see fig. I).The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supportshave negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is –a)4b)2c)1/2d)1/4Correct 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 block (B) is attached to two unstretched springs S1 and S2 with spring constants k and 4k, respectively (see fig. I).The other ends are attached to identical supports M1 and M2 not attached to the walls. The springs and supportshave negligible mass. There is no friction anywhere. The block B is displaced towards wall 1 by a small distance x (figure II) and released. The block returns and moves a maximum distance y towards wall 2. Displacements x and y are measured with respect to the equilibrium position of the block B. The ratio y/x is –a)4b)2c)1/2d)1/4Correct answer is option 'C'. Can you explain this answer?.

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