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JEE Advanced 2009Paper 2
Exam
JEE Advanced
Year
2009
Paper
Paper 2
Subject
Physics
Chapter
Oscillations

JEE Advanced 2009 · Paper 2 · Physics · Oscillations

The mass M shown in the figure oscillates in simple harmonic motion...

The mass MM shown in the figure oscillates in simple harmonic motion with amplitude AA. The amplitude of the point PP is The mass M shown in the figure oscillates in simple harmonic motion with amplitude A . The amplitude of the point P is

Options

  1. AkaAk2\frac{k_a A}{k_2}
  2. Bk2Ak1\frac{k_2 A}{k_1}
  3. Ck1Ak1+k2\frac{k_1 A}{k_1+k_2}
  4. Dk2Ak1+k2\frac{k_2 A}{k_1+k_2}

Correct answer

D. k2Ak1+k2\frac{k_2 A}{k_1+k_2}

Step-by-step solution

x_1+x_2=A and k_1 x_1=k_2 x_2 or x1x2=k2k1\frac{x_1}{x_2}=\frac{k_2}{k_1} Solving these equations, we get x_1=(k2k1+k2)\left(\frac{k_2}{k_1+k_2}\right)A
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