A person clapped near the rock and he was heard echo after 4 seconds. So what is the distance of the rock from the person?
(Speed of sound = 346m/s)
A. 1384 m
B. 173 m
C. 692 m
D. 346 m
Answer: Option C
Solution (By Examveda Team)
Let's break down this question step-by-step!The key to understanding this problem is realizing that the sound has to travel to the rock AND back to the person for an echo to be heard.
We know the speed of sound is 346 meters per second.
We also know the total time for the sound to travel to the rock and back is 4 seconds.
To find the total distance the sound travels, we multiply the speed of sound by the total time: 346 m/s * 4 s = 1384 meters.
However, this 1384 meters is the distance to the rock AND back. We only want the distance to the rock.
Therefore, we need to divide the total distance by 2: 1384 meters / 2 = 692 meters.
So, the correct answer is Option C: 692 m. It represents the one-way distance from the person to the rock.
This Question Belongs to Physics GK Chapter Wise >> Sounds Waves And Motion
To calculate the distance of the rock from the person, we need to consider that an echo involves the sound traveling to the rock and back, so the total time includes both the forward and return journey.Given:Time for the echo = 4 secondsSpeed of sound = 346 m/sThe sound travels to the rock and back, so the total distance traveled by the sound is twice the distance to the rock. Let the distance to the rock be ( d ).Total distance traveled by sound = ( 2d )Time taken = 4 secondsSpeed of sound = 346 m/sUsing the formula: distance = speed × time
2d=346m/s * 4s
2d=1384m
d=1384/2
d=692m
Therefore, the distance of the rock from the person is 692 meters.