A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at lengths 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is,
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a
172 m/s
b
500 m/s
c
156 m/s
d
344 m/s
answer is D.
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Detailed Solution
I1=9.75 cm I2=31.25 cm I3=52.75 cm e= end correction λ4+e=9.75 cm ...(i) 3λ4+e=31.25 cm …(ii) 3λ4-λ4=31.25-9.75 λ2=21.5 λ=43 cm v=λ×fv=43×800v=34400×10-2 v=344 m/s