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The graph plotted between phase angle (( ) ) and displacement of a particle from equilibrium position (y) is a sinusoidal curve as shown below. Then the best matching is

Options

  1. A(a)-(i), (b)-(ii), (c)-(iii) & (d)-(iv)
  2. B(a)-(ii), (b)-(i), (c)-(iii) & (d)-(iv)
  3. C(a)-(ii), (b)-(i), (c)-(iv) & (d)-(iii)
  4. D(a)-(ii), (b)-(iii), (c)-(iv) & (d)-(i)

Correct answer

B. (a)-(ii), (b)-(i), (c)-(iii) & (d)-(iv)

Step-by-step solution

Key Relationships in SHM: 1. Displacement (y ) vs. Phase Angle ( ) : The displacement from the equilibrium position varies sinusoidally with respect to time and phase angle. 2. Kinetic Energy (K.E.): - K.E. is maximum when the displacement is zero (i.e., at the mean position). - It varies sinusoidally and reaches zero at the maximum displacements ( ( ) A). - K.E. vs. Phase Angle: This will be a cosine-like curve because it is maximum at ( =0 ) and ( = ) (mean position) and zero at ( = 2 ) and ( 3 2 ) (maximum displ

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