A student performed the experiment to measure the speed of sound in air using resonance air-column method. Two resonances in the air-column were obtained by lowering the water level. The resonance with the shorter air-column is the first resonance and that with the longer air-column is the second resonance. Then,

$(A)$ the intensity of the sound heard at the first resonance was more than that at the second resonance

$(B)$ the prongs of the tuning fork were kept in a horizontal plane above the resonance tube

$(C)$ the amplitude of vibration of the ends of the prongs is typically around $1 \mathrm{~cm}$

$(D)$ the length of the air-column at the first resonance was somewhat shorter than $1 / 4$ th of the wavelength of the sound in air

IIT 2009, Diffcult
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