Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT 2022
Exam
BITSAT
Year
2022
Subject
Physics
Chapter
Waves and Sound

BITSAT 2022 · Physics · Waves and Sound

A submarine A travelling at 17 m / s is being chased along the line...

A submarine AA travelling at 17m/s17 \mathrm{ m} / \mathrm{s} is being chased along the line of its velocity by another submarine BB travelling at 34m/s34 \mathrm{ m} / \mathrm{s}. B sends a sonar signal of 600Hz600 \mathrm{ Hz} to detect AA and receives a reflected sound of frequency vv. The of vv is [Speed of sound in water =1500ms−1=1500 \mathrm{ ms}^{-1} ]A submarine A travelling at 17 m / s is being chased along the line of its velocity by another submarine B travelling

Options

  1. A613.7Hz613.7 \mathrm{ Hz}
  2. B6137Hz6137 \mathrm{ Hz}
  3. C62Hz62 \mathrm{ Hz}
  4. D539Hz539 \mathrm{ Hz}

Correct answer

A. 613.7Hz613.7 \mathrm{ Hz}

Step-by-step solution

\thereforeGiven,velocityofsubmarineGiven, velocity of submarineA, v_A=17 \mathrm{~m} / \mathrm{s}VelocityofsubmarineVelocity of submarineB, v_B=34 \mathrm{~m} / \mathrm{s}SignalsentbysubmarineSignal sent by submarineBisdetectedbysubmarineis detected by submarineAcanbeshownas<imgsrc="/api/proxy−image?url=httpsFreqencyofthesignal,can be shown as <img src="/api/proxy-image?url=https%3A%2F%2Ffirebasestorage.googleapis.com%2Fv0%2Fb%2Fquantrexacademy-app.firebasestorage.app%2Fo%2Fquestions%252Ffigs%252Fpyq%252Fbitsat%252FJq4hW_ynZTPjtqs3fQMJASQbe7HfYMizbGu9xW3UZps.original.fullsize.png%3Falt%3Dmedia&clean=1&v=wm2" data-qx-orig-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2FJq4hW_ynZTPjtqs3fQMJASQbe7HfYMizbGu9xW3UZps.original.fullsize.png?alt=media" data-qx-storage-src="https://firebasestorage.googleapis.com/v0/b/quantrexacademy-app.firebasestorage.app/o/questions%2Ffigs%2Fpyq%2Fbitsat%2FJq4hW_ynZTPjtqs3fQMJASQbe7HfYMizbGu9xW3UZps.original.fullsize.png?alt=media"><br> Freqency of the signal,f_0=600 \mathrm{~Hz}SpeedofsoundinwaterSpeed of sound in waterv_s=1500 \mathrm{~ms}^{-1}FrequencyreceivedbysubmarineFrequency received by submarineAisf1=is f_1=\left(\frac{v_{\mathrm{S}}-v_A}{v_{\mathrm{S}}-v_B}\right)f0=[1500−171500−34]×f_0=\left[\frac{1500-17}{1500-34}\right] \times600  Hz\mathrm{~Hz}f_1=14831466×\frac{1483}{1466} \times600 Frequency received by submarine BB is f_2=(vS+vBvs+vA)\left(\frac{v_{\mathrm{S}}+v_B}{v_s+v_A}\right)f_1 Substituting given values and f1f_1 value from Eq. (i), we get f2=(1500+341500+17)×[14831466×600]f2=1.0112×1.0115×600f2=613.7 Hz\begin{aligned}f_2 & =\left(\frac{1500+34}{1500+17}\right) \times\left[\frac{1483}{1466} \times600\right] \\ f_2 & =1.0112 \times1.0115 \times600 \\ f_2 & =613.7 \mathrm{~Hz} \end{aligned}
Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

The speed of sound in oxygen at S.T.P. will be approximately: (Given, .R=8.3 JK^ -1… BITSAT 2024A plane progressive wave is given by y=2 2 π(330 t-x) m . The frequency of the wave is: BITSAT 2024The engine of a train moving with speed 10 ms^ -1 towards a platform sounds a whistle at… BITSAT 2023The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the… BITSAT 2023Transverse waves of the same frequency are generated in two steel wires A and B . The… BITSAT 2022A direct current of 6 A is superimposed on an alternating current I=10 ω t flowing… BITSAT 2022The frequency of whistle of an engine appears to be (4 / 5)^ th of initial frequency when… BITSAT 2021The displacement y of a particle in a medium can be expressed as, y=10^ -6 (100 t+20… BITSAT 2021 Full Waves and Sound list All BITSAT PYQs