CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2007

  • question_answer
    An engine moving towards a wall with a velocity \[50\text{ }m{{s}^{-1}}\] emits a note of 1.2 kHz. Speed of sound in air is \[350\text{ }m{{s}^{-1}}\]. The frequency of the note after reflection from the wall as heard by the driver of the engine is

    A)  2.4 kHz                                

    B)  0.24 kHz

    C)  1.6 kHz                                

    D)  1.2 kHz

    Correct Answer: C

    Solution :

    The reflected sound appears to propagate in a direction opposite to that of moving engine. Thus, the source and the observer can be presumed to approach each other with same velocity.                 \[v'\frac{v\,(v+{{v}_{o}})}{(v-{{v}_{s}})}\]                 \[=v\left( \frac{v+{{v}_{s}}}{v-{{v}_{s}}} \right)\]                               \[[\because \,\,{{v}_{o}}={{v}_{s}}]\] \[\Rightarrow \]               \[v'=1.2\left( \frac{350+50}{350-50} \right)\]                 \[=\frac{1.2\times 400}{300}\]                 = 1.6 kHz


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