Waves

JEE Main level, single correct, medium

97 of 142

Question 97 of 142

A student is performing the experiment of the resonance column. The diameter of the column tube is 6cm6cm. The frequency of the tuning fork is 504Hz504Hz. Speed of the sound at the given temperature is 336ms−1336m{s}^{-1}. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

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Answer: (A) 14.8cm14.8cm

d=6cm,f=504,v=336ms−1d=6cm,f=504,v=336m{s}^{-1}
e=0.3de=0.3d
l+e=λ4=V4fl+e=\dfrac{\lambda }{4}=\dfrac{V}{4f}
l=16.66−0.3×6l=16.66-0.3\times 6
l=14.866cml=14.866cm
l=14.8cml=14.8cm

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