🎴 Flashcard Mode
Speed of sound in gas - class-XII
Card1 / 40
Mastered0
Review0
QuestionClick to flip
Two open pipes of length $20$ cm and $20.1$ cm produces $10$ beats/s. The velocity of sound in the gas is
AnswerClick to flip back
A
$402 ms^{-1}$
💡 Explanation:
For an open pipe, frequency f = v / (2L). Beats = f1 - f2 = (v/2) * (1/L1 - 1/L2). Substituting L1 = 0.2m, L2 = 0.201m, and beats = 10, we get 10 = (v/2) * (1/0.2 - 1/0.201) = (v/2) * (0.001 / 0.0402). Solving for v gives 402 m/s.