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Solve the following problem. An echo-sounder in a fishing boat receives an echo from a shoal of fish 0.45 s after it was sent. If the speed of sound in water is 1500 m/s, how deep is the shoal? - Physics

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प्रश्न

Solve the following problem.

An echo-sounder in a fishing boat receives an echo from a shoal of fish 0.45 s after it was sent. If the speed of sound in water is 1500 m/s, how deep is the shoal?

योग

उत्तर

Given: t = 0.45 s, v = 1500 m/s,

To find: depth (d)

Formula: Speed (v) = `"distance"/"time"`

Calculation: For an echo distance travelled by the sound wave = 2 × (distance between echo sounder and shoal) (d)

v = `(2 xx "d")/"t"`

∴ d = `(1500 xx 0.45)/2` = 337.5 m

The shoal is 337.5 deep.

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Echo, Reverberation and Acoustics
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अध्याय 8: Sound - Exercises [पृष्ठ १५८]

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बालभारती Physics [English] 11 Standard Maharashtra State Board
अध्याय 8 Sound
Exercises | Q 3. (iii) | पृष्ठ १५८
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