PROBLEM SOLVING. Write your answer in the nearest hundredths place.
1. What is the frequency of microwaves with wavelength of 25 m? (Assume that the waves propagate in a vacuum) Write your answer in scientific notation in the nearest hundredths.
2. What is the frequency of infrared with wavelength of 7.5 x 10^-9 m? (Assume that the waves propagate in a vacuum)
3. A radio wave has a frequency of 1.5 x 10⁶ Hz. What is its wavelength? (Assume that the waves propagate in a vacuum)
Answers
The answers to the given questions are as follows:
1. We have,
wavelength = 25 m
We know that,
Speed of wave in vacuum = 3××10⁸m/s.
So, According to the Formula,
Frequency = Speed of Wave(vacuum) / Wavelength.
Frequency = 3×10⁸ / 25.
Frequency = 120×10⁶ Hz.
Hence, the value of frequency is 120×10⁶ Hz.
2. We have,
Wavelength = 7.5 × 10⁻⁹m.
Speed of the wave in vacuum = 3×10⁸m/s.
So, According to the Formula,
Frequency = Speed of Wave(vacuum) / Wavelength.
Frequency = 3×10⁸ / 7.5 × 10⁻⁹.
Frequency = 4 × 10¹⁸Hz.
Hence, the value of frequency is 4 × 10¹⁸Hz.
3. We have,
Frequency = 1.5 × 10⁶ Hz.
Speed of the wave in vacuum = 3×10⁸m/s.
So, According to the Formula,
Frequency = Speed of Wave(vacuum) / Wavelength.
Wavelength = Speed of wave (vacuum) / Frequency.
Wavelength = 3×10⁸ / 1.5 × 10⁶.
Wavelength = 2 × 10² m.
Hence, the value of wavelength is 2×10²m.