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Calculate the wavelength that has a frequency of 1.5 x 10^15 Hz and a velocity of 6393 m/s.

A) 4.26 x 10^7 m
B) 2.56 x 10^8 m
C) 4.26 x 10^8 m
D) 2.56 x 10^7 m

User Tanjin
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1 Answer

5 votes

Final answer:

The calculated wavelength using the provided frequency of 1.5 x 10^15 Hz and velocity of 6393 m/s is 4.262 x 10^-12 m, which doesn't match any of the provided multiple-choice options.

The correct option is not given.

Step-by-step explanation:

To calculate the wavelength when given the frequency and velocity, we use the formula λ = v / f, where λ is the wavelength, v is the velocity, and f is the frequency. In this case, we have a frequency (f) of 1.5 × 1015 Hz and a velocity (v) of 6393 m/s. Plugging these values into the formula gives us:

λ = 6393 m/s / (1.5 × 1015 Hz) = 4.262 × 10-12 m.

This value is much smaller than all the options given, indicating there may be an issue with the question or the provided options.

If this is indeed the velocity of a light wave, it's important to note that the speed of light is approximately 3.00 × 108 m/s in a vacuum, which is much faster than the given velocity of 6393 m/s.

However, based on the formula and the values given, the calculated wavelength doesn't match any of the provided options (A, B, C, D).

The correct option is not given.

User Ekse
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9.0k points