Waves

JEE Main level, single correct, medium

112 of 142

Question 112 of 142

While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm18 \mathrm{~cm} during winter. Repeating the same experiment during summer, she measures the column length to be xcm\mathrm{xcm} for the second resonance. Then

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Answer: (B) x>54x\gt 54

n=14xγRTMxn=14γRTMx∝T\begin{aligned} & n=\frac{1}{4 x} \sqrt{\frac{\gamma R T}{M}} \\ & x n=\frac{1}{4} \sqrt{\frac{\gamma R T}{M}} \\ & x \propto \sqrt{T} \end{aligned}

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