Practice question
Question
A string fixed at both ends has a length of 1.4 m and a wave speed of 70 m/s. What is the frequency of its second harmonic?
Explanation
Given:
A string fixed at both ends has a length of 1.4 m and a wave speed of 70 m/s. What is the frequency of its second harmonic?
These values define the system as per NCERT data.
Formula:
For fixed ends: v_n = n v/2L.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Second harmonic ( n = 2 ): v_2 = 2 × 70/2 × 1.4 = 140/2.8 = 50 Hz .
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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