Determine the frequency of light with a wavelength of 3.728 × 10
−7
cm.
Answer in units of Hz
Given the speed of light as 3.0 × 10
8 m/s, calculate the wavelength of the electromagnetic
radiation whose frequency is 9.7 × 10
12
Hz.
Answer in units of m.
I Need These By 11.
speed of light in m/s = wavelength in m x frequency in Hz.
Same formula above for your #2.
What is the frequency of light which has a wavelength of 3.67 ✕ 10-7 m?
30
To determine the frequency of light with a given wavelength, you can use the formula:
Frequency (Hz) = Speed of light (m/s) / Wavelength (m)
In this case, the given wavelength is 3.728 × 10^-7 cm. To convert it to meters, divide by 100:
Wavelength (m) = 3.728 × 10^-7 cm / 100 = 3.728 × 10^-9 m
Next, substitute the values into the formula:
Frequency (Hz) = 3.0 × 10^8 m/s / 3.728 × 10^-9 m
Now, calculate the division:
Frequency (Hz) ≈ 8.059 × 10^16 Hz
So, the frequency of light with a wavelength of 3.728 × 10^-7 cm is approximately 8.059 × 10^16 Hz.
For the second question, given the frequency of 9.7 × 10^12 Hz, you can use the same formula and rearrange it to solve for wavelength:
Wavelength (m) = Speed of light (m/s) / Frequency (Hz)
Substituting the values into the formula:
Wavelength (m) = 3.0 × 10^8 m/s / 9.7 × 10^12 Hz
Now, calculate the division:
Wavelength (m) ≈ 3.0938 × 10^-5 m
So, the wavelength of the electromagnetic radiation with a frequency of 9.7 × 10^12 Hz is approximately 3.0938 × 10^-5 m.
Please note that the calculations performed here are approximations due to the limits of significant figures provided.