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MHT CET202411 May 2024Evening ShiftPhysicsOscillationsActual

All the springs in fig. (a), (b) and (c) are identical, each having force constant K. Mass attached to each system is ' m '. If T_a, T_b and T_c are the time periods of oscillations of the three systems respectively, then

Options

  1. AT _ a = 2 ~T _ b
  2. BT_a= T_c 2
  3. CT _ b =2 ~T _ a
  4. DT_b=2 T_c

Correct answer

D. T_b=2 T_c

Step-by-step solution

aligned T_a & =2 m K T_b & =2 m K 2 T_b & =2 2 m K = 2 T_a T_a= T_b 2 ...(i) T_c & =2 m 2 K = T_a 2 T_a= 2 T_c ...(ii) aligned From (i) and (ii), T _ b 2 = 2 ~T _ c ~T _ b =2 ~T _ c

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