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A sonic depth gauge is placed 5 m above the ground . An ultrasound pulse sent do

ID: 1772745 • Letter: A

Question

A sonic depth gauge is placed 5 m above the ground . An ultrasound pulse sent downward reflects off snow and reaches the device 0.03 seconds after it was emitted. The air temperature is -20C (a) how far is the surface of the snow from the device? (b) how deep is the snow? A sonic depth gauge is placed 5 m above the ground . An ultrasound pulse sent downward reflects off snow and reaches the device 0.03 seconds after it was emitted. The air temperature is -20C (a) how far is the surface of the snow from the device? (b) how deep is the snow? (a) how far is the surface of the snow from the device? (b) how deep is the snow?

Explanation / Answer

Given : d = 5m ; t= 0.03 s ; T =-20°c

Assumption: At T=-20°c , speed of sound (v)= 330 m/s

Solution :

(a) Distance of snow from the device = vt/2

= (330 m/s)(0.03 s) ÷2

= 4.95 m

(b) The depth of snow = 5m- 4.95 m = 0.05 m

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