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Standard X

Physics

Amplitude

A submarine A...

Question

A submarine $(A)$ travelling at 18 $k m / h r$ is being chased along the line of its velocity by another submarine $(B)$ travelling at 27 $k m / h r$ . $B$ sends a sonar signal of $500 H Z$ to detect $A$ and receives a reflected sound of frequency $v$ . The value of $v$ is close to (Speed of sound in water = $1500 m / s$

507 H z

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502 H z

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504 H z

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499 H z

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Solution

The correct option is B $502 H z$
Formula used: $f = \frac{v + v_{0}}{v - v_{0}} f_{0}$
Given,
$f_{0} = 500 H z$
$v_{A} = 18 k m / h r$
$v_{B} = 27 k m / h r$
Speed of sound in water $= 1500 m / s$
Frequency received by $A$ ,
$f_{1} = (\frac{1500 - 5}{1500 - 7.5}) f_{0}$
and frequency received by $B$ again,
$v = (\frac{1500 + 7.5}{1500 + 5}) \times (\frac{1500 - 5}{1500 - 7.5}) f_{0}$
$v = 502 H Z$

Final answer: (b)

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A SONAR system fixed in a submarine operates at a frequency 40.0 kHz. An enemy submarine moves towards the SONAR with a speed of 360 km h^–1. What is the frequency of sound reflected by the submarine? Take the speed of sound in water to be 1450 m s^–1.

Q. A submarine

(A)

travelling at

18 {Km hr}^{- 1}

is being chased along the line of its velocity by another submarine

(B)

travelling at

27 {Km hr}^{- 1}

B

sends a sonar signal of

500 Hz

to detect

A

and receives a reflected sound of frequency

ν

. The value of

ν

is close to :

(Speed of sound in water = 1500 {ms}^{- 1}

)

Two submarines are approaching each other in a calm sea. The first submarine travels at a speed of 36 km $h^{- 1}$ and the other at 54 km $h^{- 1}$ ' relative to the water. The first submarine sends a sound signal (sound waves in water are also called sonar) at a frequency of 2000 Hz. (a) At what frequency is this signal received by the second submarine ? (b) The signal is reflected from the second submarine. At what frequency is this signal received by the first submarine. Take the speed of the sound wave in water to be $1500 m s^{- 1}$

A ship on the surface of water sends a signal and receives it back after 4 seconds from a submarine inside the water. Calculate the distance of the submarine from the ship (The speed of sound in water is 1450 m/s).

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Amplitude

Standard X Physics

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A submarine (A) travelling at 18 km/hr is being chased along the line of its velocity by another submarine (B) travelling at 27 km/hr. B sends a sonar signal of 500 HZ to detect A and receives a reflected sound of frequency v. The value of v is close to (Speed of sound in water =1500 m/s

The correct option is B 502 HzFormula used: f=v+v0v−v0f0 Given, f0=500 Hz vA=18 km/hr vB=27 km/hr Speed of sound in water =1500 m/s Frequency received by A, f1=(1500−51500−7.5)f0 and frequency received by B again, v=(1500+7.51500+5)×(1500−51500−7.5)f0 v=502 HZ Final answer: (b)