A submerged scuba diver has the sound of a boat horn directly above her on the surface of the lake. At the same time, a friend on dry land 22.0 m from the boat also hears the horn. The horn is 1.2m above the surface of the water. what is the distance (labeled by ? in the figure)
from the horn to the diver? Both air and water are at 20 degree C.
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Explanation:
The correct answer is
90.5 m
For the friend on the surface,
t=22vair
t=22√γRTM=22√1.4×8.3×29330×10−3=seconds
Now time for scuba divers is also t
t\=1.2√1.4×8.3×29330×10−3+x√2.2×109*1000[vwater=√Bρ]0.010−0.2.6
⇒
x=90.5m
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