A resonance air column shows resonance with a tuning fork of frequency

1.	A resonance air column shows resonance with a tuning fork of frequency 256 Hz at column lengths 32.5 cm and 112.9 cm. The end correction and speed of sound in air are(a) 4.1 cm, 77.7 ms−1(b) 7.7 cm, 411.65 ms−1(c) 5 cm, 224.5 ms−1(d) 6.7 cm, 352.7 ms−1
Answer» Answer is : (b) 7.7 cm, 411.65 ms⁻¹ End correction = \(\frac{L_2-3L_1}{2}\) \(=\frac{112.9-3\times 32.5}{2}\) \(=\frac{15.4}{2}=7.7\, cm\) Speed of sound in air, v = 2v(L₂ - L₁) = 2 x 256 x (1.129 - 0.325) = 411.65 ms^-1.

A resonance air column shows resonance with a tuning fork of frequency 256 Hz at column lengths 32.5 cm and 112.9 cm. The end correction and speed of sound in air are(a) 4.1 cm, 77.7 ms−1(b) 7.7 cm, 411.65 ms−1(c) 5 cm, 224.5 ms−1(d) 6.7 cm, 352.7 ms−1

Answer»

Answer is : (b) 7.7 cm, 411.65 ms⁻¹

End correction = \(\frac{L_2-3L_1}{2}\)

\(=\frac{112.9-3\times 32.5}{2}\)

\(=\frac{15.4}{2}=7.7\, cm\)

Speed of sound in air,

v = 2v(L₂ - L₁)

= 2 x 256 x (1.129 - 0.325)

= 411.65 ms^-1.

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A resonance air column shows resonance with a tuning fork of frequency 256 Hz at column lengths 32.5 cm and 112.9 cm. The end correction and speed of sound in air are(a) 4.1 cm, 77.7 ms−1(b) 7.7 cm, 411.65 ms−1(c) 5 cm, 224.5 ms−1(d) 6.7 cm, 352.7 ms−1

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