Question

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

• A. $18>x$
• B. $x>54$
• C. $54>x>36$
• D. $36>x>18$

Answer 1

The correct option is B $x>54$

Fundamental frequency $f_o$ is at $18cm$

In one side closed air column tube resonance occurs at odd integral multiples of Fundamental frequency

i.e. $f_o,3f_o,5f_o,7f_o$ and so on

so next resonance will occur at $18\times 3=54cm$

hence option (b)