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Question: In a resonance pipe the first and second resonance are obtained at lengths 22.7 cm and 70.2 cm respe...

In a resonance pipe the first and second resonance are obtained at lengths 22.7 cm and 70.2 cm respectively. What will be the end correction -

A

1.05 cm

B

115.5 cm

C

92.5 cm

D

113.5 cm

Answer

1.05 cm

Explanation

Solution

e = l23l12\frac{\mathcal{l}_{2}–3\mathcal{l}_{1}}{2}

e = 70.23×22.72\frac{70.2–3 \times 22.7}{2} = 70.268.12\frac{70.2–68.1}{2} = 2.12\frac{2.1}{2}

= 1.05 cm