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According to Huygens' Principle, what is each point of a wavefront considered to be?

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Explanation

The NCERT states, 'Now, according to Huygens principle, each point of the wavefront is the source of a secondary disturbance and the wavelets emanating from these points spread out in all directions with the speed of the wave.' Option o2 aligns with this.

What primary phenomenon led to the initial skepticism about the wave theory of light, particularly concerning light's travel through vacuum?

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Explanation

The NCERT text mentions, 'The wave theory was not readily accepted primarily because of Newton’s authority and also because light could travel through vacuum and it was felt that a wave would always require a medium to propagate from one point to the other.' Option o3 highlights this key reason.

What was Huygens' ad-hoc assumption regarding secondary wavelets that allowed him to explain the absence of a backwave?

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Explanation

The NCERT states, 'Huygens argued that the amplitude of the secondary wavelets is maximum in the forward direction and zero in the backward direction; by making this adhoc assumption, Huygens could explain the absence of the backwave.' Option o3 matches this perfectly.

If a point source emits waves uniformly in all directions, what kind of wavefront is formed?

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Explanation

The NCERT states, 'If we have a point source emitting waves uniformly in all directions, then the locus of points which have the same amplitude and vibrate in the same phase are spheres and we have what is known as a spherical wave.' Thus, for a point source, a spherical wave is formed.

At a large distance from a point source, a small portion of a spherical wavefront can be considered as what type of wave?

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Explanation

The NCERT states, 'At a large distance from the source, a small portion of the sphere can be considered as a plane and we have what is known as a plane wave.' Therefore, at large distances, a spherical wavefront approximates a plane wave.

Huygens' wave theory predicted that if a light ray bends towards the normal upon refraction, the speed of light in the second medium would be:

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Explanation

The NCERT states, '...it predicted that on refraction if the wave bends towards the normal then the speed of light would be less in the second medium.' This was later confirmed by Foucault's experiment.

Which of the following optical phenomena cannot be satisfactorily explained by Huygens' wave theory in its original formulation?

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Explanation

The NCERT mentions, 'Most interference and diffraction effects exist even for longitudinal waves like sound in air. But polarisation phenomena are special to transverse waves like light waves.' Huygens' original theory treated light as longitudinal, and thus could not explain polarization, which requires transverse waves. The text also mentions that 'the phenomenon of polari sation which is based on the fact that the light waves are transverse electromagnetic waves,' which came much later with Maxwell's theory.

When can a ray of light be defined as the path of energy propagation in the context of geometrical optics?

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Explanation

The NCERT states, 'Indeed, the branch of optics in which one completely neglects the finiteness of the wavelength is called geometrical optics and a ray is defined as the path of energy propagation in the limit of wavelength tending to zero.' Option o2 directly reflects this.

The energy of a wave travels in what direction relative to the wavefront?

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Explanation

The NCERT explicitly states, 'The energy of the wave travels in a direction perpendicular to the wavefront.' This is a fundamental concept in wave propagation.

What is the relationship between the speed of light ($v$) in a medium and its refractive index ($n$)?

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Explanation

The NCERT provides the equations: $n_1 = c/v_1$ and $n_2 = c/v_2$. This implies that the refractive index is given by $n = c/v$, where $c$ is the speed of light in vacuum. Option o2 is correct.

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