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Speed of sound in water is 1500 m s-1, depth of water when reflected sound waves are detected after 0.40 s is
- a)700 m
- b)600 km
- c)300 m
- d)750 km
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Speed of sound in water is 1500 m s-1, depth of water when reflected s...
To determine the depth of water using the speed of sound in water and the time it takes for the reflected sound waves to be detected, we can use the following steps:
- Speed of sound in water: 1500 m/s
- Time for the round trip: 0.40 s
The sound wave travels to the bottom of the water body and back to the surface, so the time taken for the sound to reach the bottom is half of the total time:
Time to reach the bottom=0.40/2=0.20 s
- Depth of the water can be calculated using the formula:
Distance=Speed×Time
Here, the distance to the bottom (which is the depth d) is:
d=1500 m/s×0.20 s=300 m
Thus, the depth of the water is 300 meters.
Most Upvoted Answer
Speed of sound in water is 1500 m s-1, depth of water when reflected s...
Speed of Sound in Water and Depth Calculation
Given:
- Speed of sound in water = 1500 m/s
- Time taken for reflected sound waves to be detected = 0.40 s
To find: Depth of water
Solution:
- The time taken for the sound wave to travel from the surface of the water to the bottom and back to the surface is twice the time taken for the reflected sound wave to be detected.
- Therefore, the time taken for the sound wave to travel from the surface of the water to the bottom is:
- t = 0.40 s / 2 = 0.20 s
- The distance travelled by the sound wave is:
- d = speed x time
- d = 1500 m/s x 0.20 s
- d = 300 m
- However, this distance is the total distance travelled by the sound wave, which includes the distance from the surface to the bottom and the distance from the bottom to the surface. Therefore, the depth of the water is half of this distance:
- Depth of water = d / 2
- Depth of water = 300 m / 2
- Depth of water = 150 m
Answer: The depth of water when reflected sound waves are detected after 0.40 s is 150 m. Therefore, the correct option is (c) 600 m.
Given:
- Speed of sound in water = 1500 m/s
- Time taken for reflected sound waves to be detected = 0.40 s
To find: Depth of water
Solution:
- The time taken for the sound wave to travel from the surface of the water to the bottom and back to the surface is twice the time taken for the reflected sound wave to be detected.
- Therefore, the time taken for the sound wave to travel from the surface of the water to the bottom is:
- t = 0.40 s / 2 = 0.20 s
- The distance travelled by the sound wave is:
- d = speed x time
- d = 1500 m/s x 0.20 s
- d = 300 m
- However, this distance is the total distance travelled by the sound wave, which includes the distance from the surface to the bottom and the distance from the bottom to the surface. Therefore, the depth of the water is half of this distance:
- Depth of water = d / 2
- Depth of water = 300 m / 2
- Depth of water = 150 m
Answer: The depth of water when reflected sound waves are detected after 0.40 s is 150 m. Therefore, the correct option is (c) 600 m.
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Speed of sound in water is 1500 m s-1, depth of water when reflected sound waves are detected after 0.40 s isa)700 mb)600 kmc)300 md)750 kmCorrect answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Speed of sound in water is 1500 m s-1, depth of water when reflected sound waves are detected after 0.40 s isa)700 mb)600 kmc)300 md)750 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Speed of sound in water is 1500 m s-1, depth of water when reflected sound waves are detected after 0.40 s isa)700 mb)600 kmc)300 md)750 kmCorrect answer is option 'C'. Can you explain this answer?.
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