CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    A train is moving at\[30\text{ }m{{s}^{-1}}\]in still air. The frequency of the locomotive whistle is 500 Hz and the speed of sound is\[345\text{ }m{{s}^{-1}}\]. The apparent wavelength of sound in front of and behind the locomotive are respectively

    A)  0.80 m, 0.63 m

    B)  0.63 m, 0.80 m

    C)  0.50 m, 0.85 m                                                             

    D)  0.63 m, 0.75 m

    E)  0.50m, 0.75m

    Correct Answer: D

    Solution :

    Apparent wavelength, in front of locomotive \[\lambda =\frac{\lambda (v-{{v}_{s}})}{v}\] Or           \[\lambda =\frac{v-{{v}_{s}}}{v}\]                 \[=\frac{345-30}{500}=\frac{315}{500}=0.63\,m\] Behind locomotive,                 \[\lambda \,\,=\frac{\lambda (v+{{v}_{s}})}{v}\]                 \[=\frac{v+{{v}_{s}}}{v}\]                 \[=\frac{345+30}{500}=\frac{375}{500}=0.75\,m\]


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