Wave Optics MCQs for NEET — Physics Questions with Answers

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According to the wave theory of light, when a plane wave undergoes refraction and bends towards the normal, what can be inferred about the speed of light in the second medium compared to the first medium?

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Explanation

The text states, 'The wave model could satisfactorily explain the phenomena of reflection and refraction; however, 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 experiments.

Which of the following phenomena is NOT directly explained by the behavior of wavefronts as described in the provided context?

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Explanation

The context explicitly describes 'refraction of a plane wave by (a) a thin prism, (b) a convex lens. (c) Reflection of a plane wave by a concave mirror.' While total internal reflection is mentioned as a consequence of refraction in rarer mediums, its direct explanation using wavefront behavior, like the others, is not provided in detail in these specific excerpts regarding wavefront transformations through prisms, lenses, and mirrors.

When a plane wave is incident on a thin convex lens, what happens to the emerging wavefront?

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Explanation

The passage states, 'In Fig. 10.7(b) we consider a plane wave incident on a thin convex lens; the central part of the incident plane wave traverses the thickest portion of the lens and is delayed the most. The emerging wavefront has a depression at the centre and therefore the wavefront becomes spherical and converges to the point F which is known as the focus.'

In the context of refraction, if a wave is refracted into a denser medium ($v_1 > v_2$), what happens to its wavelength and frequency?

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Explanation

The text explicitly states: 'The above equation implies that when a wave gets refracted into a denser medium ($v_1 > v_2$) the wavelength and the speed of propagation decrease but the frequency $\nu (= v/\lambda)$ remains the same.'

According to Huygens' principle, how is the new position of a wavefront determined after a time 't'?

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Explanation

The context explains, 'Thus, if we wish to determine the shape of the wavefront at t = t, we draw spheres of radius $vt$ from each point on the spherical wavefront where v represents the speed of the waves in the medium. If we now draw a common tangent to all these spheres, we obtain the new position of the wavefront at t = t.'

The corpuscular model of light, as developed by Descartes and Newton, predicted what about the speed of light when it bends towards the normal during refraction?

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Explanation

The text states, 'The corpuscular model predicted that if the ray of light (on refraction) bends towards the normal then the speed of light would be greater in the second medium.'

In total internal reflection, what is the condition for the angle of incidence ($i$) relative to the critical angle ($i_c$)?

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Explanation

The text mentions, 'Thus, if $i = i_c$ then $\sin r = 1$ and $r = 90^\circ$. Obviously, for $i > i_c$, there cannot be any refracted wave... for all angles of incidence greater than the critical angle, we will not have any refracted wave and the wave will undergo what is known as total internal reflection.'

What is the relationship between the angle of incidence ($i$), angle of refraction ($r$), and the speeds of light in medium 1 ($v_1$) and medium 2 ($v_2$) according to Huygens' principle for refraction?

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Explanation

From the derivations, $\sin i = \frac{v_1 \tau}{AC}$ and $\sin r = \frac{v_2 \tau}{AC}$. Dividing the two equations gives $\frac{\sin i}{\sin r} = \frac{v_1}{v_2}$.

When a plane wave is incident on a concave mirror, how does the reflected wavefront behave?

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Explanation

The text states, 'In Fig. 10.7(c) a plane wave is incident on a concave mirror and on reflection we have a spherical wave converging to the focal point F.'

According to the wave theory, what phenomenon proved that the speed of light in water is less than in air?

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Explanation

The text notes, '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 is in contradiction to the prediction made by using the corpuscular model of light. It was much later confirmed by experiments where it was shown that the speed of light in water is less than the speed in air confirming the prediction of the wave model; Foucault carried out this experiment in 1850.'

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