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A gun is fixed at a distance of 1.75 km away from a watch point. The watchman hears the sound of the gun fire after 5 seconds. Find the speed at which sound travels.
- a)250 m/sec.
- b)350 m/sec.
- c)450 m/sec.
- d)550 m/sec.
Correct answer is option 'B'. Can you explain this answer?
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A gun is fixed at a distance of 1.75 km away from a watch point. The w...
The speed of sound is a fundamental concept in physics. It is the rate at which sound waves travel through a medium, such as air or water. In this question, we are given the distance between the gun and the watch point, as well as the time it takes for the sound of the gun fire to reach the watchman. We can use this information to calculate the speed of sound.
To begin solving this problem, let's break it down into smaller steps:
Step 1: Convert the given distance from kilometers to meters.
The distance between the gun and the watch point is given as 1.75 km. Since the speed of sound is typically measured in meters per second, we need to convert this distance to meters.
1 km = 1000 m
Therefore, 1.75 km = 1.75 x 1000 m = 1750 m.
Step 2: Calculate the time it takes for the sound to travel from the gun to the watch point.
The question states that the watchman hears the sound of the gun fire after 5 seconds. This means that it takes 5 seconds for the sound to travel the distance between the gun and the watch point.
Step 3: Calculate the speed of sound.
The speed of sound can be calculated using the formula: Speed = Distance / Time.
In this case, the distance is 1750 m and the time is 5 s.
Speed = 1750 m / 5 s = 350 m/s.
Therefore, the speed at which sound travels is 350 m/s, which corresponds to option B.
To begin solving this problem, let's break it down into smaller steps:
Step 1: Convert the given distance from kilometers to meters.
The distance between the gun and the watch point is given as 1.75 km. Since the speed of sound is typically measured in meters per second, we need to convert this distance to meters.
1 km = 1000 m
Therefore, 1.75 km = 1.75 x 1000 m = 1750 m.
Step 2: Calculate the time it takes for the sound to travel from the gun to the watch point.
The question states that the watchman hears the sound of the gun fire after 5 seconds. This means that it takes 5 seconds for the sound to travel the distance between the gun and the watch point.
Step 3: Calculate the speed of sound.
The speed of sound can be calculated using the formula: Speed = Distance / Time.
In this case, the distance is 1750 m and the time is 5 s.
Speed = 1750 m / 5 s = 350 m/s.
Therefore, the speed at which sound travels is 350 m/s, which corresponds to option B.
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A gun is fixed at a distance of 1.75 km away from a watch point. The watchman hears the sound of the gun fire after 5 seconds. Find the speed at which sound travels.a)250 m/sec.b)350 m/sec.c)450 m/sec.d)550 m/sec.Correct answer is option 'B'. Can you explain this answer?
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