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JEE Main & Advanced Physics Wave Mechanics Question Bank Mock Test - Waves and Acoustics

  • question_answer
    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, he measures the column length to be \[x\] centimeter for the second resonance. Then

    A) 18 >\[x\]          

    B) \[x\]>54

    C) 54>\[x\]>36     

    D) 36>\[x\]>18

    Correct Answer: B

    Solution :

    [b] If\[f=3{{v}_{2}}/4{{l}_{2}}\], where \[{{l}_{2}}=x\] according to the given situation and \[{{v}_{1}}<{{v}_{2}}\] as during summer, temperature would be higher, then \[\frac{3{{v}_{2}}}{4{{l}_{2}}}=\frac{{{v}_{1}}}{4{{l}_{1}}}\] \[\Rightarrow {{l}_{2}}=3{{l}_{1}}\times \frac{{{v}_{2}}}{{{v}_{1}}}\] \[\Rightarrow x=54\times \](a quantity greater than 1) So x>54.


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