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The splash is heared after 4.22 sec after the stone is dropped into a well of depth 78.4 m. The velocity of the sound is option is (a) 342 (b) 372 (c) 392 (d) 356m/s?
Verified Answer
The splash is heared after 4.22 sec after the stone is dropped into a ...
Let the velocity of sound be v. Time taken by stone to reach bottom of well be t.

We have:

-78.4=0t-1/2*9.8*t2

t=4 s

 

Time taken by sound to reach top,t'=4.22-4=0.22 s

Hence,

Speed of sound,v=78.4/0.2556.36.2=356.36 ms-1
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Most Upvoted Answer
The splash is heared after 4.22 sec after the stone is dropped into a ...
Given Information:
- Time taken for the splash to be heard after the stone is dropped into the well: 4.22 sec
- Depth of the well: 78.4 m

To find:
The velocity of sound.

Formula:
The time taken for the sound to reach a depth can be calculated using the formula:

Time = Distance / Velocity

Calculation:
1. Let's assume the velocity of sound as 'v' m/s.
2. The time taken for the sound to reach the bottom of the well is given as 4.22 sec.
3. The distance covered by sound is the depth of the well, which is 78.4 m.
4. Using the formula, we can write the equation as:
4.22 sec = 78.4 m / v
5. Rearranging the equation to solve for 'v', we get:
v = 78.4 m / 4.22 sec
6. Calculating the value, we find:
v = 18.58 m/s

Answer:
The velocity of sound is approximately 18.58 m/s.
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The splash is heared after 4.22 sec after the stone is dropped into a well of depth 78.4 m. The velocity of the sound is option is (a) 342 (b) 372 (c) 392 (d) 356m/s?
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The splash is heared after 4.22 sec after the stone is dropped into a well of depth 78.4 m. The velocity of the sound is option is (a) 342 (b) 372 (c) 392 (d) 356m/s? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The splash is heared after 4.22 sec after the stone is dropped into a well of depth 78.4 m. The velocity of the sound is option is (a) 342 (b) 372 (c) 392 (d) 356m/s? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The splash is heared after 4.22 sec after the stone is dropped into a well of depth 78.4 m. The velocity of the sound is option is (a) 342 (b) 372 (c) 392 (d) 356m/s?.
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