Question

In a given period of time, 12,000 peaks of wave A and 15,000 peaks of wave B passed through the same medium under the same conditions. The wavelength A is 2 m. What is the wavelength of wave B?
0.4 m
2.0 m
2.5 m
1.6 m

Answer 1

To find the wavelength of wave B, we can use the formula:

Wavelength = Total distance / Total number of peaks

For wave A:
Wavelength A = 2 m

For wave B:
Total number of peaks = 15,000
Since the same medium and conditions are used for both waves, the total distance traveled by wave B will be the same as wave A.

Wavelength B = Total distance / Total number of peaks for B
Wavelength B = Total distance / 15,000

Since the total distance is the same for both waves:
Wavelength A * 12,000 = Wavelength B * 15,000

2 * 12,000 = Wavelength B * 15,000
24,000 = Wavelength B * 15,000
Wavelength B = 24,000 / 15,000
Wavelength B = 1.6 m

Therefore, the wavelength of wave B is 1.6 m.