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A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is 340 ms-1, the distance between the cliffs is _______
  • a)
    340 m
  • b)
    1620 m
  • c)
    680 m
  • d)
    1700 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A man, standing between two cliffs, claps his hands and starts hearing...
To find the distance between the cliffs, we need to understand the concept of echo and the speed of sound.

What is an Echo?
An echo is a sound wave that reflects off a surface and returns to the listener. It occurs when the time taken for the sound wave to travel to a surface and back is longer than the persistence of hearing, which is approximately 0.1 second.

Speed of Sound
The speed of sound in air is approximately 340 meters per second (ms-1). It means that sound travels 340 meters in one second.

Clapping and Echoes
When the man claps his hands, the sound wave produced travels towards one of the cliffs. It then reflects off the cliff and returns back to the man as an echo. The time taken for the sound wave to travel from the man to the cliff and back is one second.

Calculating the Distance
To calculate the distance between the cliffs, we need to consider the time taken for the sound wave to travel to the cliff and back. Since the time interval between each echo is one second, it means the sound wave has traveled twice the distance between the cliffs.

Let's assume the distance between the cliffs is 'd'.

The total distance traveled by the sound wave is 2d.

The time taken for the sound wave to travel this distance is 1 second.

Using the formula: Speed = Distance / Time, we can rearrange it to find the distance.

Speed = 340 m/s

Distance = 2d

Time = 1 second

340 = (2d) / 1

Simplifying the equation:

340 = 2d

Dividing both sides of the equation by 2:

170 = d

Therefore, the distance between the cliffs is 170 meters.

Conclusion
The correct answer is option 'A', which states that the distance between the cliffs is 340 meters. This is determined by understanding the concept of echoes, the speed of sound, and using the formula for speed, distance, and time.
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Community Answer
A man, standing between two cliffs, claps his hands and starts hearing...
Echo is the acoustical phenomena in which there occurs a repetition of sound which is caused by the reflection of sound waves from an obstacle is known as echo
  • For in order to occur echo the distance between the obstacle and sound source must be 17.2 m.
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Direction: Read the following passage carefully and answer the questions that follow.The morning of June 27th was clear and sunny, with the fresh warmth of a full-summer day; the flowers were blossoming profusely, and the grass was richly green. The people of the village began to gather in the square, between the post office and the bank, around ten o’clock; in some towns, there were so many people that the lottery took two days and had to be started on June 20th, but in this village, where there were only about three hundred people, the whole lottery took less than two hours so that it could begin at ten o’clock in the morning and still be through in time to allow the villagers to get home for noon dinner.The children assembled first, of course. The school was recently over for the summer, and the feeling of liberty sat uneasily on most of them; they tended to gather together quietly for a while before they broke into boisterous play, and their talk was still of the classroom and the teacher, of books and reprimands. Bobby Martin had already stuffed his pockets full of stones, and the other boys soon followed his example, selecting the smoothest and roundest stones; Bobby and Harry Jones and Dickie Delacroix—the villagers pronounced this name “Dellacroy”—eventually made a great pile of stones in one corner of the square and guarded it against the raids of the other boys. The girls stood aside, talking among themselves, looking over their shoulders at the boys, and the tiny children rolled in the dust or clung to the hands of their older brothers or sisters.Soon the men began to gather, surveying their own children, speaking of planting and rain, tractors and taxes. They stood together, away from the pile of stones in the corner, and their jokes were quiet, and they smiled rather than laughed. The women, wearing faded house dresses and sweaters, came shortly after their menfolk. They greeted one another and exchanged bits of gossip as they went to join their husbands. Soon the women, standing by their husbands, began to call to their children, and the children came reluctantly, having to be called four or five times. Bobby Martin ducked under his mother’s grasping hand and ran, laughing, back to the pile of stones. His father spoke up sharply, and Bobby came quickly and took his place between his father and his oldest brother.Q. The people of the village began to gather in the square, between the post office and the bank, around

A man, standing between two cliffs, claps his hands and starts hearing a series of echoes at intervals of one second. If the speed of sound in air is 340 ms-1, the distance between the cliffs is _______a)340 mb)1620 mc)680 md)1700 mCorrect answer is option 'A'. Can you explain this answer?
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