Question

Given that the wavelength of a wave is 4.57 x 10^9 m, what must be the

frequency? KEEP THREE SIGNIFICANT FIGURES
a) 0.065645514 Hz
b) 6.56 x 10^-2 m
c) 6.56 x 10^2
d) 6.56 x 10^-2 Hz
e) 1.52 x 10^1 Hz

Answer 1

Option d is correct option = Frequency of light is 6.56×10⁻² Hz

Explanation:

Given data:

Frequency of light = ?

wavelength of light = 4.57×10⁹m

Solution:

Formula:

Speed of light = wavelength × frequency

c = λ × f

f = c/λ

This formula shows that both are inversely related to each other.

The speed of light is 3×10⁸ m/s

Frequency is taken in Hz.

It is the number of oscillations, wave of light make in one second.

Wavelength is designated as "λ" and it is the measured in meter. It is the distance between the two crust of two trough.

Now we will put the values in formula.

f = 3×10⁸ m/s / 4.57×10⁹m

f = 0.656×10⁻¹s⁻¹

s⁻¹ = Hz

f = 0.656×10⁻¹ Hz or 6.56×10⁻² Hz