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MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    The end correction of a resonance column is cm. If the shortest length resonating with the tuning fork is 15.0 cm, the next resonating length will be

    A)  31 cm                                  

    B)  45 cm

    C)  46 cm                                  

    D)  47 cm

    Correct Answer: D

    Solution :

                     \[\frac{\lambda }{4}={{l}_{1}}+e\]and\[\frac{3\lambda }{4}={{l}_{2}}+e\] \[\Rightarrow \]               \[\frac{{{l}_{2}}+e}{{{l}_{1}}+e}=3\] \[\Rightarrow \]               \[{{l}_{2}}=3{{l}_{1}}+2e\] \[=3\times 15+2\times 1.0\] \[=47\text{ }cm\]


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