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JEE Advanced 2008Paper 2
Exam
JEE Advanced
Year
2008
Paper
Paper 2
Subject
Physics
Chapter
Oscillations

JEE Advanced 2008 · Paper 2 · Physics · Oscillations

A block (B) is attached to two unstretched S_1 and S_2 with spring...

A block (B)(B) is attached to two unstretched S1S_1 and S2S_2 with spring constants kk and 4k4 k, respectively (see figure I). The other ends are attached to identical supports M1M_1 and M2M_2 not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere. The block BB is displaced towards wall 1 by a small distance xx (figure II) and released. The block returns and moves a maximum distance yy towards wall 2 . Displacements xx and yy are measured with respect to the equilibrium position of the block BB. The ratio y−1\frac{y}{-1} is A block (B) is attached to two unstretched S_1 and S_2 with spring constants k and 4 k , respectively (see figure I).

Options

  1. A4
  2. B2
  3. C12\frac{1}{2}
  4. D14\frac{1}{4}

Correct answer

C. 12\frac{1}{2}

Step-by-step solution

From energy conservation, 12kx2=12(4k)y2yx=12\begin{aligned}\frac{1}{2} k x² & =\frac{1}{2}(4 k) y² \\ \frac{y}{x}& =\frac{1}{2} \end{aligned}\therefore$ correct option is (c).
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