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SSSSS [86.1K]
3 years ago
12

A light wave has a wavelength of 450 nanometers. What is the frequency of this light?

Physics
1 answer:
Zolol [24]3 years ago
3 0

Answer:

Frequency, f=6.67\times 10^{14}\ Hz

Explanation:

Wavelength of a light wave is 450 nm. It is required to find the frequency of this light wave. The speed of light is given by c. So,

c=f\lambda

f is the frequency of this light

f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{450\times 10^{-9}}\\\\f=6.67\times 10^{14}\ Hz

So, the frequency of this light is 6.67\times 10^{14}\ Hz.

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Explanation:

It is given that,

Speed of the person, v = 3 mile/hr = 1.34 m/s

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(a) Since, \beta =\dfrac{v}{c}

For the person, \beta =\dfrac{1.34}{3\times 10^8}=4.47\times 10^{-9}    

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(b) The relativistic factor is given by :

\gamma=\dfrac{1}{\sqrt{1-\beta^2}}

For very small velocity, \beta

\gamma=(1-\beta ^2)^{-1/2}\approx 1+\dfrac{1}{2}\beta ^2

\gamma-1=\dfrac{\beta^2}{2}

For the person :

\gamma-1=\dfrac{(4.47\times 10^{-9})^2}{2}=9.99\times 10^{-18}

For the person :

\gamma-1=\dfrac{(9.68\times 10^{-8})^2}{2}=4.68\times 10^{-15}

Hence, this is the required solution.

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