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Oscillations

Question
CBSEENPH11020373

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 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance.Then 

  • 18 > x

  • x >54

  • 54 > x > 36 

  • 36 > x > 18

Solution

B.

x >54

straight n space equals space fraction numerator 1 over denominator 4 straight x end fraction space square root of γRT over straight M end root
xn space equals space 1 fourth square root of γRT over straight M end root
straight x space proportional to space square root of straight T