Speed, wavelength anf frequency

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Light and microwaves share the same speed as they are both forms of electromagnetic radiation, traveling at the speed of light. However, they differ in wavelength and frequency, with each type of wave having unique characteristics. The mathematical relationship between speed, frequency, and wavelength is defined by the formula V = fλ, where V is the speed of light, f is frequency, and λ is wavelength. All electromagnetic waves, including light and microwaves, belong to the electromagnetic spectrum. Understanding these differences is crucial for applications in various fields of physics and technology.
mike2007
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For which of the following characteristics- speed, wavelength and frequency is light similar to microwaves, and for which does it differ?

My attempt
Light is similar to microwaves for speed and differs for wavelength and frequency. The speed of the waves are the same but the wavelengths of different for different waves and hence the frequency
 
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One should write the mathematical relationship for the speed, frequency and wavelength of light.

Microwaves are a form of electromagnetic radiation, as is visible light, as are radio waves, infrared radiation, ultraviolet light, X-rays and gamma rays.

All EM radiation (photons) travel at the same velocity, the magnitude of which we call the 'speed of light'.
 
The formula is V = fגּ
V = speed of light and will be constant for all waves so the frequency and wavelength will differ for the different type of waves.
 
correct. remember, light, microwaves, etc all are EM waves and belong in the EM spectrum
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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