Step 1: Understanding Huygens' Wave Theory
Huygens' wave theory describes how light propagates by treating every point on a wavefront as a secondary wave source. Using this principle, the laws of: Reflection , Refraction , Diffraction are successfully derived.
Step 2: Analyzing the Given Options
Reflection: Huygens' principle explains reflection by considering the secondary wavelets on the incident wavefront, which create the reflected wavefront.
Refraction: Huygens' principle explains refraction by stating that different parts of a wavefront move at different speeds when passing through media with different refractive indices.
Diffraction: Huygens' principle accounts for diffraction, as each point on a wavefront acts as a source of secondary wavelets, allowing light to bend around obstacles.
Step 3: Why Huygens' Principle Fails to Explain Spectra
The origin of spectral lines arises due to the emission and absorption of photons by atoms, which is best explained by quantum mechanics. Huygens' wave theory does not consider the particle nature of light or energy quantization, which are essential for understanding:
Atomic emission spectra , Blackbody radiation , Photoelectric effect
Since Huygens' theory only deals with the wave nature of light and not its quantum properties, it cannot explain the origin of spectra.
Thus, the correct answer is: \(\mathbf{D}\)
Step 1: Understanding Huygen's Principle
Huygen's Principle states that: "Every point on a wavefront acts as a source of secondary wavelets, and the new wavefront is the envelope of these secondary wavelets."
This principle successfully explains several fundamental properties of light, such as:
Reflection – using the laws of reflection.
Refraction – using Snell’s Law.
Diffraction – by considering secondary wavelets bending around edges.
Step 2: The Limitation
However, Huygen’s theory is purely wave-based. It cannot explain:
These require the **quantum theory of light** (i.e., photons and quantized energy), which was later introduced by Planck, Einstein, and Bohr. Huygen's classical wave model doesn’t address this.
Step 3: Final Answer
\[ \boxed{\text{Option 4: Origin of spectra}} \]
A metal plate of area 10-2m2 rests on a layer of castor oil, 2 × 10-3m thick, whose viscosity coefficient is 1.55 Ns/m2. The approximate horizontal force required to move the plate with a uniform speed of 3 × 10-2ms-1 is:
Evaluate the following limit: $ \lim_{n \to \infty} \prod_{r=3}^n \frac{r^3 - 8}{r^3 + 8} $.
In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be: