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Light waves travel at 3 × 10 8 m/s. If the light wave has a particular wavelength of 400 nm (400 × 10 –9 m), calculate its frequency.

Sagot :

Answer:

[tex]f=7.5\times 10^{14}\ Hz[/tex]

Explanation:

Given that,

The wavelength of light, [tex]\lambda=400\ nm=400\times 10^{-9}\ m[/tex]

The speed of light, [tex]c=3\times 10^8\ m/s[/tex]

We need to find the frequency of light. We know that,

[tex]c=f\lambda[/tex]

Where

f is the frequency

So,

[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{400\times 10^{-9}}\\\\f=7.5\times 10^{14}\ Hz[/tex]

So, the frequency of light is [tex]7.5\times 10^{14}\ Hz[/tex].

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