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IAT IISER2025PhysicsWaves and Sound

Consider two pipes A and B of identical length. A has one end closed and one end open. B has both ends open. Each tube is immersed in a closed chamber of ideal gas having volume V . The chamber containing tube A is at temperature T_A and the chamber containing tube B is at temperature T_B . The sound frequencies corresponding to the n_A -th harmonic in tube A and the n_B -th harmonic in tube B are the same. What is t

Options

  1. AT_A= ( 4 n_B^2 n_A^2 ) T_B
  2. BT_A= ( 4 n_A^2 n_B^2 ) T_B
  3. CT_A= ( n_A^2 4 n_B^2 ) T_B
  4. DT_A= ( n_B^2 4 n_A^2 ) T_B

Correct answer

A. T_A= ( 4 n_B^2 n_A^2 ) T_B

Step-by-step solution

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