what will be the ratio of wave length of two ultrasonic waves having frequencies 10000hz and 1.5 *10^4 hz, if speed of both the waves is same
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1) ultra sonic sound property
wavelength = a (Lambada)
speed = V1
frequency = n1 = 10000Hz
2) ultra sonic sound property
wavelength = a1 (Lamba)
speed = V1
frequency = n2 = 1.5×10^4Hz = 15/10×10000 = 15000Hz
(V1/n1)/(V1/n2) = a/a1
V1/n1×n2/V1 = a/a1
n2/n1 = a/a1
15000/10000 = a/a1
15/10 = a/a1
3/2 = a/a1
so ratio of the wavelengths is = a : a2 = 3 : 2
wavelength = a (Lambada)
speed = V1
frequency = n1 = 10000Hz
2) ultra sonic sound property
wavelength = a1 (Lamba)
speed = V1
frequency = n2 = 1.5×10^4Hz = 15/10×10000 = 15000Hz
(V1/n1)/(V1/n2) = a/a1
V1/n1×n2/V1 = a/a1
n2/n1 = a/a1
15000/10000 = a/a1
15/10 = a/a1
3/2 = a/a1
so ratio of the wavelengths is = a : a2 = 3 : 2
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