Practice question
Question
A pipe open at both ends has a third harmonic frequency of 600 Hz and a wave speed of 400 m/s. What is its length?
Explanation
Given:
A pipe open at both ends has a third harmonic frequency of 600 Hz and a wave speed of 400 m/s. What is its length?
These values define the system as per NCERT data.
Formula:
v_n = n v/2L, n = 3.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
600 = 3 × 400/2L Rightarrow 600 = 1200/2L Rightarrow 2L = 2 Rightarrow L = 1 m .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
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