A sound wave of frequency 245 Hz travels with the speed of 300 ms⁻¹ along the positive x-axis. Each point of the wave moves to and for through a total distance of 6 cm. What will be the mathematical expression of this traveling wave?
A sound wave of frequency 245 Hz travels with the speed of 300 ms⁻¹ along the positive x-axis. Each point of the wave moves to and for through a total distance of 6 cm. What will be the mathematical expression of this traveling wave?
Option 1 -
Y(x,t) = 0.03 [sin 5.1x - (1.5 * 10³)t]
Option 2 -
Y(x,t) = 0.03 [sin 5.1x - (0.2 * 10³)t]
Option 3 -
Y(x,t) = 0.06 [sin 5.1x - (1.5 * 10³)t]
Option 4 -
Y(x,t) = 0.06 [sin 0.8x - (0.5 * 10³)t]
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1 Answer
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Correct Option - 2
Detailed Solution:The angular frequency ω is calculated as:
ω = 2πf = 2 * 3.14 * 245 = 1.5386 * 10³ rad/s ≈ 1.5 * 10³ rad/sThis continues the solution from number 15 on the previous page.
k = ω / v = (1.53 * 10³) / 300 = 5.1 m? ¹
A = 0.06 / 2 = 0.03m
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