Question

As waves go across a space that is roughly the same size as their wavelength, the waves are diffracted. What size of a

gap would be necessary for 6 x 10¹⁰ Hz microwaves to diffract?
O 1 m
O 2 cm
O 0.5 cm
O 4 mm

Answer 1

A gap size of 4 mm is required for 6 x 10¹⁰ Hz microwaves to exhibit noticeable diffraction, as it is slightly smaller than their 5 mm wavelength. Therefore correct option is C

Step-by-step explanation:

To identify the size of the gap required for 6 x 10¹⁰ Hz microwaves to be diffracted, we first need to calculate their wavelength using the formula c = λ
u, where c is the speed of light (3.00 x 10¸ m/s), λ is the wavelength, and
is the frequency. So, λ = c/
=> λ = (3.00 x 10¸ m/s) / (6 x 10¹⁰ Hz)

= 0.005 meters or 5 millimeters (mm).

Given that diffraction becomes noticeable when the size of the gap is comparable to the wavelength of the wave, the closest standard gap size that would cause diffraction for these microwaves is 4 mm since it is slightly less than the wavelength and would facilitate noticeable diffraction.

Therefore, a 5 mm gap is necessary for 6 x 10¹⁰ Hz microwaves to diffract.