Understanding the First Order Spectrum in Diffraction

What order of spectrum is observed when the angle of diffraction is 50 degrees?

• A. 0th order
• B. 1st order
• C. 2nd order
• D. 3rd order

Answer: (B)

The answer is the first order of the spectrum, which corresponds to a specific diffraction condition relating to the angle of diffraction. When light passes through a diffraction grating, it is separated into its component wavelengths, forming a series of spectra (or orders) based on the angle at which each wavelength is diffracted. The first-order spectrum is produced when the path difference between light waves diffracted by adjacent slits equals one wavelength of the light. This situation occurs at a specific angle which, in this case, is 50 degrees. The general formula that relates the angle of diffraction (\( \theta \)), the order of the spectrum (\( n \)), and the wavelength of the light (\( \lambda \)) is given by: \( d \sin(\theta) = n \lambda \) where \( d \) is the distance between the slits in the grating. Setting \( n = 1 \) for the first order, when the angle reaches 50 degrees, the condition can be satisfied, indicating that the first-order spectrum is indeed observed at that angle. Whereas the 0th order refers to the direct transmitted light without diffraction, higher orders like the second or third would require angles that result in

Alright, let’s get into something that really lights up the mind—literally! Ever wondered why certain angles make light display a dazzling spectrum of colors? Well, that’s all about diffraction, my friend! When light waves pass through a diffraction grating, it separates into various wavelengths, showcasing a beautiful range of colors. Ever seen a rainbow? Think of it like that, only created with angles and slits instead of raindrops!

Now, let’s focus on a key aspect of this colorful phenomenon—the first-order spectrum, particularly when the angle of diffraction hits 50 degrees. You might be scratching your head and thinking, “What does that mean?” Here’s the scoop: the first-order spectrum corresponds to a particular diffraction condition, according to a nifty little formula that physics folks love to use:

[ d \sin(\theta) = n \lambda ]

Alright, let’s break that down. In this equation, ( d ) represents the distance between the slits in the grating, ( \theta ) is our angle of diffraction, ( n ) is the order of the spectrum (1 for the first order), and ( \lambda ) is the wavelength of the light.

So, when we set ( n = 1) (first-order) and measure at 50 degrees—boom! We find that condition satisfied. This means we’re observing the first-order spectrum. The beauty of physics is, it often explains the world around us in fascinating ways.

Now, you might be wondering about the 0th order spectrum. This one refers to the light that passes straight through without any diffraction. It’s like when you order a soda, and you get it without any ice—you get the straight-up version. Higher orders, such as second or third, require specific angles that result in additional diffraction patterns.

Thinking about light dynamics? Think of it this way: Light behaves like waves crashing onto a shore. The angle at which they hit the beach matters; it influences the patterns they create. Just as waves can form different shapes depending on their approach to the sand, light waves diffract at different angles to do the same!

Now, diving deeper into our main point—why does the first-order spectrum matter? Well, it’s not just academic. Understanding diffraction can open doors to real-world applications, from high-tech imaging systems to lasers we see in everyday gadgets. Imagine a future where these fundamental concepts help you innovate and create incredible tech. How cool is that?

So remember, 50 degrees doesn’t just represent an angle. It’s a gateway to understanding the vibrant world of light diffraction. Whether you’re cramming for your A-Level exams or just curious about the universe’s workings, grasping these concepts can make you shine in any physics discussion.

Now, before we wrap things up, here’s a little tip: When preparing for your A-Level Physics, don’t just memorize formulas—understand how they apply to real-life situations. Try conducting a simple experiment with a diffraction grating—your understanding will deepen, and it could even make you appreciate those physics principles in your daily life!

So, the next time you see lights dancing in the air, think back to this discussion. You’ve got the tools now to decode those colorful patterns! Happy studying and may your angles always be just right!