This question has Statement-1 and Statement-2. Of the four choices given after the Statements, choose the one that best describes the two Statements.
Statement-1: Out of radio waves and microwaves, the radio waves undergo more diffraction.
Statement-2: Radio waves have greater frequency compared to microwaves.

To solve this question, we need to evaluate Statement-1 and Statement-2 and determine their truthfulness and whether Statement-2 correctly explains Statement-1. Let's start by recalling the properties of electromagnetic waves.

The diffraction of waves refers to their ability to bend around obstacles or spread out when passing through an aperture. The extent of diffraction depends on the wavelength of the wave: waves with longer wavelengths diffract more than those with shorter wavelengths. This is because longer wavelengths are more comparable to the size of obstacles or apertures they encounter.

Now, consider the electromagnetic spectrum. Radio waves and microwaves are both part of this spectrum. The electromagnetic spectrum is ordered by wavelength and frequency. Radio waves have the longest wavelengths in the spectrum, followed by microwaves, then infrared, visible light, ultraviolet, X-rays, and gamma rays. Therefore, radio waves have longer wavelengths than microwaves.

Since radio waves have longer wavelengths than microwaves, they undergo more diffraction. Thus, Statement-1 is true.

Next, Statement-2 claims that radio waves have greater frequency compared to microwaves. The relationship between wavelength ($$\lambda$$) and frequency ($$\nu$$) is given by the equation $$c = \lambda \nu$$, where $$c$$ is the speed of light (a constant, approximately $$3 \times 10^8$$ m/s). Since $$c$$ is constant, wavelength and frequency are inversely proportional: longer wavelength means lower frequency, and shorter wavelength means higher frequency.

Given that radio waves have longer wavelengths than microwaves, radio waves must have lower frequencies than microwaves. Therefore, Statement-2 is false because radio waves do not have greater frequency; they have lower frequency compared to microwaves.

In summary:

• Statement-1 is true: Radio waves undergo more diffraction due to their longer wavelengths.
• Statement-2 is false: Radio waves have lower frequency, not greater, compared to microwaves.

Now, evaluating the options:

• A: Both true and Statement-2 explains Statement-1 → Incorrect because Statement-2 is false.
• B: Statement-1 false, Statement-2 true → Incorrect because Statement-1 is true and Statement-2 is false.
• C: Statement-1 true, Statement-2 false → Correct.
• D: Both true but no correct explanation → Incorrect because Statement-2 is false.

Hence, the correct answer is Option C.