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
\[ \boxed{\text{Option 4: Origin of spectra}} \]
The stopping potential (\(V_0\)) versus frequency (\(\nu\)) of a graph for the photoelectric effect in a metal is given. From the graph, the Planck's constant (\(h\)) is:

In the diagram shown below, both the strings AB and CD are made of the same material and have the same cross-section. The pulleys are light and frictionless. If the speed of the wave in string AB is \( v_1 \) and in CD is \( v_2 \), then the ratio \( \frac{v_1}{v_2} \) is:
