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JEE Main 2008
Exam
JEE Main
Year
2008
Subject
Physics
Chapter
Waves and Sound

JEE Main 2008 · Physics · Waves and Sound

While measuring the speed of sound by performing a resonance column...

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

Options

  1. A18>x18>x
  2. Bx>54x>54
  3. C54>x>3654>x>36
  4. D36>x>1836>x>18

Correct answer

B. x>54x>54

Step-by-step solution

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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