BHU PMT BHU PMT (Screening) Solved Paper-2011

  • question_answer
    A racing car moving towards a cliff sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If v is the velocity of sound, the velocity of the car is

    A)  \[\frac{v}{\sqrt{2}}\]                                    

    B)  \[\frac{v}{2}\]

    C)   \[\frac{v}{3}\]                                 

    D)  \[\frac{v}{4}\]

    Correct Answer: C

    Solution :

                     If\[{{v}_{s}}\]be the velocity of car, then frequency of sound striking the cliff \[n'=\frac{v\times n}{v-{{v}_{s}}}\] The frequency of sound heard an reflection \[n''=\frac{(v+{{v}_{s}})n'}{v}=\frac{(v+{{v}_{s}})}{v}\times \frac{v\times n}{(v-{{v}_{s}})}\]                 \[\frac{n''}{n}=\frac{v+{{v}_{s}}}{v-{{v}_{s}}}=2\]                 \[v+{{v}_{s}}=2v-2{{v}_{s}}\] Or           \[3{{v}_{s}}=v\] Or           \[{{v}_{s}}=\frac{v}{3}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner