Time Remaining: 01:08:22 Submit Test This Question: 1 pt 8 of 24 (13 complete) T

Question

Time Remaining: 01:08:22 Submit Test This Question: 1 pt 8 of 24 (13 complete) This Test: 24 pts possible The speed of sound through air is lineary related to the temperature of the air. If sound 20°C, construct a linear model relating the speed of sound (s) and the air temperature (1). Interpret the slope of this model. rature of the air. If sound travels at 335 m/sec at O C and at 345 m/sec at Construct a linear model relating the speed of sound (s) and the air temperature (). Interpret the slope of this model. The rate of change of speed of sound with respect to temperature is 0.5 The rate of change of speed of sound with respect to temperature is 20 m/sec per °C. O B. The rate of change of speed of sound with respect to temperature is 17.3 m/sec per °C, The rate of change of speed of sound with respect to O A. m/sec per C. 0 D.

Explanation / Answer

Given that the speed of sound through air is linearly related to the temperature of the air.

speed of sound at 0 centigrade = 335m/s

speed of sound at 20 centigrade = 345 m/s

Now

Rate of change of speed of sound with temperature= change in sound speed/ change in temperature

=(345-335)/(20-0)

=10/20

=0.5

slope = 0.5

The answer is option B

The rate of change of speed of sound with repect to temperature is 0.5 m/sec per 1 centigrade

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