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EAMCET Medical EAMCET Medical Solved Paper-2010

  • question_answer
    A sound wave travels with a velocity of 300 ms-1 through a gas. 9 beats are produced in 3 s when two waves pass through it simultaneously. If one of the waves has 2 m wavelength, the wavelength of the other wave is

    A)                  1.98 m                                 

    B)                  2.04 m

    C)                  2.00 m                                 

    D)                  1.99 m

    Correct Answer: B

    Solution :

                     Frequency \[f=\frac{9}{3}=3\,Hz\]                 \[f=v\left[ \frac{1}{{{\lambda }_{1}}}-\frac{1}{{{\lambda }_{2}}} \right]\]                 \[3=300\left[ \frac{1}{2}-\frac{1}{{{\lambda }_{2}}} \right]\]                 \[\frac{1}{100}=\frac{1}{2}-\frac{1}{{{\lambda }_{2}}}\]                 \[\frac{1}{{{\lambda }_{2}}}=\frac{1}{2}-\frac{1}{100}\]                 \[\frac{1}{{{\lambda }_{2}}}=\frac{50-1}{100}=\frac{49}{100}\] \[{{\lambda }_{2}}=\frac{100}{49}=2.04\,m\]


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