A man standing between two vertical cliffs fires a gun and hears Its first echo after 2 seconds and next echo 3 seconds later calculate distance between two cliffs, If velocity of sound In air Is 340 mis.
Answers
Answer:
850 m
Explanation:
Let the distance between the first cliff and the man be d and distance between the second cliff and the man be D. (d < D)
Distance between the cliff = d + D
As we know, speed = distance/time
For 1st cliff and man: as the sound takes 2 seconds to go and return, it taken 2/2 = 1 seconds to cover that distance.
⇒ speed = distance/time
⇒ 340 = d/1
⇒ 340 = d
For 2nd cliff and man: similarly as that case 1, time = 3/2 = 1.5
⇒ speed = distance/time
⇒ 340 = D/1.5
⇒ 340*1.5 = D ⇒ 510 = d
Distance between the cliff = d + D
= 340 + 510
= 850 m
Answer:
Given :-
- A man standing between two vertical cliffs fires a gun and hears it's first echo after 2 seconds and next echo 3 seconds later.
- It's velocity of sound in air is 340 m/h.
To Find :-
- What is the distance between two cliffs.
Formula Used :
➲ Speed = Distance/Time
Solution :-
Let, the distance between the first cliffs and man be d
And, similarly the distance between the cliffs and man be D
❏ Now, for the first case of the first cliffs and man :
➦ Time taken :
⇒ 2/2
⇒ 1 seconds
Given :
- Speed = 340 m/h
- Time = 1 seconds
According to the question by using the formula we get,
↦ Speed = Distance/Time
↦ 340 = d/1
↦ 340 × 1 = d
↦ 340 = d
➠ d = 340 m
____________________________
❏ Again, for the second case of the second cliff and man :
➦ Time taken :
↦ 3/2
↦ 1.5 seconds
Given :
- Speed = 340 m/h
- Time = 1.5 seconds
According to the question by using the formula we get,
↦ Speed = Distance/Time
↦ 340 = D/1.5
↦ 340 × 1.5 = D
↦ 340 × 15/10 = D
↦ 5100/10 = D
↦ 510 = D
➠ D = 510 m
_________________________
Now, we have to find the distance between two cliffs :
Then we know that :
➲ Distance between two cliffs = d + D
Given :
- d = 340 m
- D = 510 m
According to the question by using the formula we get,
↦ Distance between two cliffs = d + D
↦ Distance between two cliffs = 340 m + 510 m
➠ Distance between two cliffs = 850 m
∴ The distance between the two cliffs is 850 m.