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What is the frequency of light waves with a wavelength of 3x10¹⁰m? (With solution please) THANK YOU!​

Sagot :

MrRoyal

Answer:

[tex]f = 0.01Hz[/tex]

Explanation:

Given

[tex]Wavelength = 3 * 10^{10}m[/tex]

Required

Determine the frequency of the light waves

Frequency is calculated using:

[tex]c = fL[/tex]

Where

c = speed of light

and

[tex]c = 2.998 * 10^8 m/s[/tex]

Make f the subject in:

[tex]c = fL[/tex]

[tex]f = \frac{c}{L}[/tex]

Substitute values for c and L

[tex]f = \frac{2.998 * 10^8}{3*10^{10}}[/tex]

Apply law of indices

[tex]f = \frac{2.998 * 10^{8-10}}{3}[/tex]

[tex]f = \frac{2.998}{3} * 10^{-2}[/tex]

[tex]f = 0.9993 * 10^{-2}[/tex]

Approximate

[tex]f = 1 * 10^{-2}[/tex]

[tex]f = 10^{-2}Hz[/tex]

or

[tex]f = 0.01Hz[/tex]

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