The depth of the well is approximately 773.25 meters. Option A is correct.
To calculate the depth of the well, we need to consider the time it takes for the sound to travel from the rock to the bottom of the well and then back to the student's ears. Given that the speed of sound is 343 m/s and the student measures a time of 4.50 s, we can use the formula:
Depth = (Speed of Sound x Time) / 2
Plugging in the values, we get:
Depth = (343 m/s x 4.50 s) / 2 = 773.25 m
Therefore, the depth of the well is approximately 773.25 meters.
Hence, A. is the correct option.
--The given question is incomplete, the complete question is
"A physics student with a stopwatch drops a rock into a very deep well, and measures the time between when he drops the rock and when he hears the sound of the rock hitting the water below. if the speed of sound is 343 m/s, and the student measures a time of 4.50 s, how deep is the well? select answer from the options below A) 773.25m B) 783.25 m C) 883.25 m D) 993.25 m."--