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timama [110]
3 years ago
5

Light waves are electromagnetic waves that travel at 3.00 108 m/s. The eye is most sensitive to light having a wavelength of 5.5

0 10-7 m. (a) Find the frequency of this light wave. Hz (b) Find its period. s
Physics
1 answer:
Firlakuza [10]3 years ago
7 0

(a) 5.5\cdot 10^{14} Hz

Explanation:

The relationship between wavelength, frequency and speed of an electromagnetic wave is:

v=f \lambda

where v is the speed, f is the frequency, \lambda is the wavelength.

For the light wave in the problem, we have:

v=3.00\cdot 10^8 m/s is the speed of light

\lambda=5.50 \cdot 10^{-7} m is the wavelength

Substituting these numbers into the equation, and re-arranging it, we find the frequency of the light wave:

f=\frac{v}{\lambda}=\frac{3\cdot 10^8 m/s}{5.5\cdot 10^{-7} m}=5.5\cdot 10^{14} Hz

(b) 1.8\cdot 10^{-15} s

Explanation:

The period of a wave is equal to the reciprocal of the frequency:

T=\frac{1}{f}

where f is the frequency of the wave, which we found in the previous part of the exercise. Substituting, we find:

T=\frac{1}{f}=\frac{1}{5.5\cdot 10^{14} Hz}=1.8\cdot 10^{-15} s

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