Question

question 1
which one of the following is correct?
\\(\
u = c\lambda\\)
\\(\
u + \lambda = c\\)
\\(\
u \div \lambda = c\\)
\\(\
u\lambda = c\\)
\\(\lambda = c\
u\\)

question 2
of the following, ________ radiation has the shortest wavelength.
microwave
infrared
x-ray
ultraviolet
radio

Explanation:

Identify the wave relationship

We need to find the correct equation relating frequency \(
u\), wavelength \(\lambda\), and the speed of light \(c\). Electromagnetic radiation travels at a constant speed \(c\) in a vacuum, which is the product of its frequency and wavelength.

Formulate the equation

The fundamental equation for electromagnetic waves is:

$$c = u \lambda$$

This matches the fourth option: \(
u \lambda = c\).

Compare electromagnetic wavelengths

We need to identify which type of radiation has the shortest wavelength among microwave, infrared, X-ray, ultraviolet, and radio waves.

Order the electromagnetic spectrum

The electromagnetic spectrum ordered from longest wavelength (lowest energy) to shortest wavelength (highest energy) is:

1. Radio waves
2. Microwaves
3. Infrared
4. Visible light
5. Ultraviolet
6. X-rays
7. Gamma rays

Determine the shortest wavelength

Comparing the given options:

• Radio: longest wavelength
• Microwave: shorter than radio
• Infrared: shorter than microwave
• Ultraviolet: shorter than infrared
• X-ray: shortest wavelength among the choices

Answer:

Question 1

• (A) \(

u = c\lambda\)

• (B) \(

u + \lambda = c\)

• (C) \(

u \div \lambda = c\)

• **(D) \(

u\lambda = c\) (Correct answer)**

• (E) \(\lambda = c

u\)

Question 2

• (A) microwave
• (B) infrared
• (C) X-ray (Correct answer)
• (D) ultraviolet
• (E) radio