1. what is the frequency of an EM wave with a wave length of 90mm2. calculate the frequency of the radio wave with a wave length of 45mm3. solve for the wave length of the gamma ray with frequency of 0.4hz4. what is the wave length of the EM wave with a frequency of 0.8hz
Answer (1)
To solve these problems, we can use the formulas related to electromagnetic (EM) waves:1. Frequency of an EM wave:c = f \times \lambda is the speed of light (approximately m/s), is the frequency in hertz (Hz), is the wavelength in meters (m).1. Frequency of an EM wave with a wavelength of 90 mm:Convert the wavelength from millimeters to meters:90 \, \text{mm} = 0.09 \, \text{m}Now, rearranging the formula to solve for frequency:f = \frac{c}{\lambda} = \frac{3 \times 10^8 \, \text{m/s}}{0.09 \, \text{m}} \approx 3.33 \times 10^9 \, \text{Hz} \, \text{(or 3.33 GHz)}2. Frequency of a radio wave with a wavelength of 45 mm:Convert the wavelength:45 \, \text{mm} = 0.045 \, \text{m}Calculating the frequency:f = \frac{c}{\lambda} = \frac{3 \times 10^8 \, \text{m/s}}{0.045 \, \text{m}} \approx 6.67 \times 10^9 \, \text{Hz} \, \text{(or 6.67 GHz)}3. Wavelength of a gamma ray with a frequency of 0.4 Hz:Using the same formula but solving for wavelength:\lambda = \frac{c}{f} = \frac{3 \times 10^8 \, \text{m/s}}{0.4 \, \text{Hz}} = 7.5 \times 10^8 \, \text{m}4. Wavelength of an EM wave with a frequency of 0.8 Hz:Calculating the wavelength:\lambda = \frac{c}{f} = \frac{3 \times 10^8 \, \text{m/s}}{0.8 \, \text{Hz}} = 3.75 \times 10^8 \, \text{m}Summary of Results:1. Frequency for 90 mm: 3.33 GHz2. Frequency for 45 mm: 6.67 GHz3. Wavelength for 0.4 Hz: 750,000 km4. Wavelength for 0.8 Hz: 375,000 kmIf you need more details or further calculations, feel free to ask!
